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Finding the Fourth Proportional to 112.03, 166.93 and 101.80

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Solution

The fourth proportional to 112.03, 166.93 and 101.80 is: 151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.03 : 166.93 = 101.80 : x
  2. Step 2: Convert to fraction form
    112.03/166.93 = 101.80/x
  3. Step 3: Cross multiply
    112.03x = 166.93 × 101.80
  4. Step 4: Simplify right side
    112.03x = 16,993.47
  5. Step 5: Solve for x
    x = 16,993.47/112.03
  6. Step 6: Final answer
    x = 151.69

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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.