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Finding the Fourth Proportional to 127.75, 176.31 and 89.02

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Solution

The fourth proportional to 127.75, 176.31 and 89.02 is: 122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.75 : 176.31 = 89.02 : x
  2. Step 2: Convert to fraction form
    127.75/176.31 = 89.02/x
  3. Step 3: Cross multiply
    127.75x = 176.31 × 89.02
  4. Step 4: Simplify right side
    127.75x = 15,695.12
  5. Step 5: Solve for x
    x = 15,695.12/127.75
  6. Step 6: Final answer
    x = 122.86

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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.