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Finding the Fourth Proportional to 127.89, 176.49 and 76.14

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Solution

The fourth proportional to 127.89, 176.49 and 76.14 is: 105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.89 : 176.49 = 76.14 : x
  2. Step 2: Convert to fraction form
    127.89/176.49 = 76.14/x
  3. Step 3: Cross multiply
    127.89x = 176.49 × 76.14
  4. Step 4: Simplify right side
    127.89x = 13,437.95
  5. Step 5: Solve for x
    x = 13,437.95/127.89
  6. Step 6: Final answer
    x = 105.07

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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.