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Finding the Fourth Proportional to 122.93, 169.52 and 87.52

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Solution

The fourth proportional to 122.93, 169.52 and 87.52 is: 120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.93 : 169.52 = 87.52 : x
  2. Step 2: Convert to fraction form
    122.93/169.52 = 87.52/x
  3. Step 3: Cross multiply
    122.93x = 169.52 × 87.52
  4. Step 4: Simplify right side
    122.93x = 14,835.53
  5. Step 5: Solve for x
    x = 14,835.53/122.93
  6. Step 6: Final answer
    x = 120.68

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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.