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Finding the Fourth Proportional to 102.46, 141.45 and 69.76

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Solution

The fourth proportional to 102.46, 141.45 and 69.76 is: 96.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.46 : 141.45 = 69.76 : x
  2. Step 2: Convert to fraction form
    102.46/141.45 = 69.76/x
  3. Step 3: Cross multiply
    102.46x = 141.45 × 69.76
  4. Step 4: Simplify right side
    102.46x = 9,867.55
  5. Step 5: Solve for x
    x = 9,867.55/102.46
  6. Step 6: Final answer
    x = 96.31

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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.