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Finding the Fourth Proportional to 122.48, 169.06 and 87.56

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Solution

The fourth proportional to 122.48, 169.06 and 87.56 is: 120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.48 : 169.06 = 87.56 : x
  2. Step 2: Convert to fraction form
    122.48/169.06 = 87.56/x
  3. Step 3: Cross multiply
    122.48x = 169.06 × 87.56
  4. Step 4: Simplify right side
    122.48x = 14,802.89
  5. Step 5: Solve for x
    x = 14,802.89/122.48
  6. Step 6: Final answer
    x = 120.86

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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.