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Finding the Fourth Proportional to 127.74, 176.13 and 125.04

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Solution

The fourth proportional to 127.74, 176.13 and 125.04 is: 172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.74 : 176.13 = 125.04 : x
  2. Step 2: Convert to fraction form
    127.74/176.13 = 125.04/x
  3. Step 3: Cross multiply
    127.74x = 176.13 × 125.04
  4. Step 4: Simplify right side
    127.74x = 22,023.30
  5. Step 5: Solve for x
    x = 22,023.30/127.74
  6. Step 6: Final answer
    x = 172.41

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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.