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Finding the Fourth Proportional to 102.62, 141.61 and 67.70

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Solution

The fourth proportional to 102.62, 141.61 and 67.70 is: 93.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.62 : 141.61 = 67.70 : x
  2. Step 2: Convert to fraction form
    102.62/141.61 = 67.70/x
  3. Step 3: Cross multiply
    102.62x = 141.61 × 67.70
  4. Step 4: Simplify right side
    102.62x = 9,586.12
  5. Step 5: Solve for x
    x = 9,586.12/102.62
  6. Step 6: Final answer
    x = 93.42

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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.