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Finding the Fourth Proportional to 127.86, 176.45 and 72.61

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Solution

The fourth proportional to 127.86, 176.45 and 72.61 is: 100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.86 : 176.45 = 72.61 : x
  2. Step 2: Convert to fraction form
    127.86/176.45 = 72.61/x
  3. Step 3: Cross multiply
    127.86x = 176.45 × 72.61
  4. Step 4: Simplify right side
    127.86x = 12,812.46
  5. Step 5: Solve for x
    x = 12,812.46/127.86
  6. Step 6: Final answer
    x = 100.21

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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.