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Finding the Fourth Proportional to 127.73, 176.27 and 69.52

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Solution

The fourth proportional to 127.73, 176.27 and 69.52 is: 95.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.73 : 176.27 = 69.52 : x
  2. Step 2: Convert to fraction form
    127.73/176.27 = 69.52/x
  3. Step 3: Cross multiply
    127.73x = 176.27 × 69.52
  4. Step 4: Simplify right side
    127.73x = 12,254.02
  5. Step 5: Solve for x
    x = 12,254.02/127.73
  6. Step 6: Final answer
    x = 95.94

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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.