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Finding the Fourth Proportional to 102.49, 140.51 and 95.38

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Solution

The fourth proportional to 102.49, 140.51 and 95.38 is: 130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.49 : 140.51 = 95.38 : x
  2. Step 2: Convert to fraction form
    102.49/140.51 = 95.38/x
  3. Step 3: Cross multiply
    102.49x = 140.51 × 95.38
  4. Step 4: Simplify right side
    102.49x = 13,401.84
  5. Step 5: Solve for x
    x = 13,401.84/102.49
  6. Step 6: Final answer
    x = 130.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.