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Finding the Fourth Proportional to 102.74, 141.82 and 65.90

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Solution

The fourth proportional to 102.74, 141.82 and 65.90 is: 90.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.74 : 141.82 = 65.90 : x
  2. Step 2: Convert to fraction form
    102.74/141.82 = 65.90/x
  3. Step 3: Cross multiply
    102.74x = 141.82 × 65.90
  4. Step 4: Simplify right side
    102.74x = 9,345.94
  5. Step 5: Solve for x
    x = 9,345.94/102.74
  6. Step 6: Final answer
    x = 90.97

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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.