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Finding the Fourth Proportional to 102.57, 141.59 and 65.78

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Solution

The fourth proportional to 102.57, 141.59 and 65.78 is: 90.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.57 : 141.59 = 65.78 : x
  2. Step 2: Convert to fraction form
    102.57/141.59 = 65.78/x
  3. Step 3: Cross multiply
    102.57x = 141.59 × 65.78
  4. Step 4: Simplify right side
    102.57x = 9,313.79
  5. Step 5: Solve for x
    x = 9,313.79/102.57
  6. Step 6: Final answer
    x = 90.80

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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.