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Finding the Fourth Proportional to 102.62, 141.65 and 65.77

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Solution

The fourth proportional to 102.62, 141.65 and 65.77 is: 90.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.62 : 141.65 = 65.77 : x
  2. Step 2: Convert to fraction form
    102.62/141.65 = 65.77/x
  3. Step 3: Cross multiply
    102.62x = 141.65 × 65.77
  4. Step 4: Simplify right side
    102.62x = 9,316.32
  5. Step 5: Solve for x
    x = 9,316.32/102.62
  6. Step 6: Final answer
    x = 90.78

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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.