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Finding the Fourth Proportional to 112.45, 169.52 and 105.02

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Solution

The fourth proportional to 112.45, 169.52 and 105.02 is: 158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.45 : 169.52 = 105.02 : x
  2. Step 2: Convert to fraction form
    112.45/169.52 = 105.02/x
  3. Step 3: Cross multiply
    112.45x = 169.52 × 105.02
  4. Step 4: Simplify right side
    112.45x = 17,802.89
  5. Step 5: Solve for x
    x = 17,802.89/112.45
  6. Step 6: Final answer
    x = 158.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.