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Finding the Fourth Proportional to 122.64, 169.48 and 99.28

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Solution

The fourth proportional to 122.64, 169.48 and 99.28 is: 137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.64 : 169.48 = 99.28 : x
  2. Step 2: Convert to fraction form
    122.64/169.48 = 99.28/x
  3. Step 3: Cross multiply
    122.64x = 169.48 × 99.28
  4. Step 4: Simplify right side
    122.64x = 16,825.97
  5. Step 5: Solve for x
    x = 16,825.97/122.64
  6. Step 6: Final answer
    x = 137.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.