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Finding the Fourth Proportional to 122.91, 169.61 and 76.25

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Solution

The fourth proportional to 122.91, 169.61 and 76.25 is: 105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.91 : 169.61 = 76.25 : x
  2. Step 2: Convert to fraction form
    122.91/169.61 = 76.25/x
  3. Step 3: Cross multiply
    122.91x = 169.61 × 76.25
  4. Step 4: Simplify right side
    122.91x = 12,931.53
  5. Step 5: Solve for x
    x = 12,931.53/122.91
  6. Step 6: Final answer
    x = 105.21

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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.