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Finding the Fourth Proportional to 91.46, 136.89 and 69.66

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Solution

The fourth proportional to 91.46, 136.89 and 69.66 is: 104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.46 : 136.89 = 69.66 : x
  2. Step 2: Convert to fraction form
    91.46/136.89 = 69.66/x
  3. Step 3: Cross multiply
    91.46x = 136.89 × 69.66
  4. Step 4: Simplify right side
    91.46x = 9,535.76
  5. Step 5: Solve for x
    x = 9,535.76/91.46
  6. Step 6: Final answer
    x = 104.26

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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.