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Finding the Fourth Proportional to 100.97, 152.13 and 85.04

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Solution

The fourth proportional to 100.97, 152.13 and 85.04 is: 128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.97 : 152.13 = 85.04 : x
  2. Step 2: Convert to fraction form
    100.97/152.13 = 85.04/x
  3. Step 3: Cross multiply
    100.97x = 152.13 × 85.04
  4. Step 4: Simplify right side
    100.97x = 12,936.37
  5. Step 5: Solve for x
    x = 12,936.37/100.97
  6. Step 6: Final answer
    x = 128.13

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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.