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Finding the Fourth Proportional to 112.02, 166.90 and 105.03

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Solution

The fourth proportional to 112.02, 166.90 and 105.03 is: 156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.02 : 166.90 = 105.03 : x
  2. Step 2: Convert to fraction form
    112.02/166.90 = 105.03/x
  3. Step 3: Cross multiply
    112.02x = 166.90 × 105.03
  4. Step 4: Simplify right side
    112.02x = 17,529.51
  5. Step 5: Solve for x
    x = 17,529.51/112.02
  6. Step 6: Final answer
    x = 156.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.