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Finding the Fourth Proportional to 127.72, 176.34 and 84.12

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Solution

The fourth proportional to 127.72, 176.34 and 84.12 is: 116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.72 : 176.34 = 84.12 : x
  2. Step 2: Convert to fraction form
    127.72/176.34 = 84.12/x
  3. Step 3: Cross multiply
    127.72x = 176.34 × 84.12
  4. Step 4: Simplify right side
    127.72x = 14,833.72
  5. Step 5: Solve for x
    x = 14,833.72/127.72
  6. Step 6: Final answer
    x = 116.14

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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.