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Finding the Fourth Proportional to 68.71, 103.11 and 65.77

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Solution

The fourth proportional to 68.71, 103.11 and 65.77 is: 98.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.71 : 103.11 = 65.77 : x
  2. Step 2: Convert to fraction form
    68.71/103.11 = 65.77/x
  3. Step 3: Cross multiply
    68.71x = 103.11 × 65.77
  4. Step 4: Simplify right side
    68.71x = 6,781.54
  5. Step 5: Solve for x
    x = 6,781.54/68.71
  6. Step 6: Final answer
    x = 98.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.