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Finding the Fourth Proportional to 69.10, 102.97 and 66.92

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Solution

The fourth proportional to 69.10, 102.97 and 66.92 is: 99.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.10 : 102.97 = 66.92 : x
  2. Step 2: Convert to fraction form
    69.10/102.97 = 66.92/x
  3. Step 3: Cross multiply
    69.10x = 102.97 × 66.92
  4. Step 4: Simplify right side
    69.10x = 6,890.75
  5. Step 5: Solve for x
    x = 6,890.75/69.10
  6. Step 6: Final answer
    x = 99.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.