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Finding the Fourth Proportional to 127.96, 176.50 and 89.12

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Solution

The fourth proportional to 127.96, 176.50 and 89.12 is: 122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.96 : 176.50 = 89.12 : x
  2. Step 2: Convert to fraction form
    127.96/176.50 = 89.12/x
  3. Step 3: Cross multiply
    127.96x = 176.50 × 89.12
  4. Step 4: Simplify right side
    127.96x = 15,729.68
  5. Step 5: Solve for x
    x = 15,729.68/127.96
  6. Step 6: Final answer
    x = 122.93

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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.