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Finding the Fourth Proportional to 122.66, 169.26 and 76.04

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Solution

The fourth proportional to 122.66, 169.26 and 76.04 is: 104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.66 : 169.26 = 76.04 : x
  2. Step 2: Convert to fraction form
    122.66/169.26 = 76.04/x
  3. Step 3: Cross multiply
    122.66x = 169.26 × 76.04
  4. Step 4: Simplify right side
    122.66x = 12,870.53
  5. Step 5: Solve for x
    x = 12,870.53/122.66
  6. Step 6: Final answer
    x = 104.93

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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.