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Finding the Fourth Proportional to 102.40, 140.87 and 96.93

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Solution

The fourth proportional to 102.40, 140.87 and 96.93 is: 133.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.40 : 140.87 = 96.93 : x
  2. Step 2: Convert to fraction form
    102.40/140.87 = 96.93/x
  3. Step 3: Cross multiply
    102.40x = 140.87 × 96.93
  4. Step 4: Simplify right side
    102.40x = 13,654.77
  5. Step 5: Solve for x
    x = 13,654.77/102.40
  6. Step 6: Final answer
    x = 133.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.