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Finding the Fourth Proportional to 102.34, 141.23 and 55.71

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Solution

The fourth proportional to 102.34, 141.23 and 55.71 is: 76.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.34 : 141.23 = 55.71 : x
  2. Step 2: Convert to fraction form
    102.34/141.23 = 55.71/x
  3. Step 3: Cross multiply
    102.34x = 141.23 × 55.71
  4. Step 4: Simplify right side
    102.34x = 7,867.64
  5. Step 5: Solve for x
    x = 7,867.64/102.34
  6. Step 6: Final answer
    x = 76.88

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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.