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Finding the Fourth Proportional to 122.77, 169.43 and 76.13

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Solution

The fourth proportional to 122.77, 169.43 and 76.13 is: 105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.77 : 169.43 = 76.13 : x
  2. Step 2: Convert to fraction form
    122.77/169.43 = 76.13/x
  3. Step 3: Cross multiply
    122.77x = 169.43 × 76.13
  4. Step 4: Simplify right side
    122.77x = 12,898.71
  5. Step 5: Solve for x
    x = 12,898.71/122.77
  6. Step 6: Final answer
    x = 105.06

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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.