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Finding the Fourth Proportional to 122.88, 169.56 and 73.76

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Solution

The fourth proportional to 122.88, 169.56 and 73.76 is: 101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.88 : 169.56 = 73.76 : x
  2. Step 2: Convert to fraction form
    122.88/169.56 = 73.76/x
  3. Step 3: Cross multiply
    122.88x = 169.56 × 73.76
  4. Step 4: Simplify right side
    122.88x = 12,506.75
  5. Step 5: Solve for x
    x = 12,506.75/122.88
  6. Step 6: Final answer
    x = 101.78

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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.