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Finding the Fourth Proportional to 127.67, 176.20 and 72.41

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Solution

The fourth proportional to 127.67, 176.20 and 72.41 is: 99.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.67 : 176.20 = 72.41 : x
  2. Step 2: Convert to fraction form
    127.67/176.20 = 72.41/x
  3. Step 3: Cross multiply
    127.67x = 176.20 × 72.41
  4. Step 4: Simplify right side
    127.67x = 12,758.64
  5. Step 5: Solve for x
    x = 12,758.64/127.67
  6. Step 6: Final answer
    x = 99.93

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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.