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Finding the Fourth Proportional to 127.24, 175.57 and 71.96

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Solution

The fourth proportional to 127.24, 175.57 and 71.96 is: 99.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.24 : 175.57 = 71.96 : x
  2. Step 2: Convert to fraction form
    127.24/175.57 = 71.96/x
  3. Step 3: Cross multiply
    127.24x = 175.57 × 71.96
  4. Step 4: Simplify right side
    127.24x = 12,632.96
  5. Step 5: Solve for x
    x = 12,632.96/127.24
  6. Step 6: Final answer
    x = 99.29

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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.