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Finding the Fourth Proportional to 102.77, 141.82 and 65.91

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Solution

The fourth proportional to 102.77, 141.82 and 65.91 is: 90.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.77 : 141.82 = 65.91 : x
  2. Step 2: Convert to fraction form
    102.77/141.82 = 65.91/x
  3. Step 3: Cross multiply
    102.77x = 141.82 × 65.91
  4. Step 4: Simplify right side
    102.77x = 9,347.72
  5. Step 5: Solve for x
    x = 9,347.72/102.77
  6. Step 6: Final answer
    x = 90.96

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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.