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Finding the Fourth Proportional to 102.16, 152.96 and 71.38

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Solution

The fourth proportional to 102.16, 152.96 and 71.38 is: 106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.16 : 152.96 = 71.38 : x
  2. Step 2: Convert to fraction form
    102.16/152.96 = 71.38/x
  3. Step 3: Cross multiply
    102.16x = 152.96 × 71.38
  4. Step 4: Simplify right side
    102.16x = 10,918.28
  5. Step 5: Solve for x
    x = 10,918.28/102.16
  6. Step 6: Final answer
    x = 106.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.