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Finding the Fourth Proportional to 122.88, 169.57 and 71.13

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Solution

The fourth proportional to 122.88, 169.57 and 71.13 is: 98.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.88 : 169.57 = 71.13 : x
  2. Step 2: Convert to fraction form
    122.88/169.57 = 71.13/x
  3. Step 3: Cross multiply
    122.88x = 169.57 × 71.13
  4. Step 4: Simplify right side
    122.88x = 12,061.51
  5. Step 5: Solve for x
    x = 12,061.51/122.88
  6. Step 6: Final answer
    x = 98.16

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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.