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Finding the Fourth Proportional to 127.42, 176.00 and 94.82

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Solution

The fourth proportional to 127.42, 176.00 and 94.82 is: 130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.42 : 176.00 = 94.82 : x
  2. Step 2: Convert to fraction form
    127.42/176.00 = 94.82/x
  3. Step 3: Cross multiply
    127.42x = 176.00 × 94.82
  4. Step 4: Simplify right side
    127.42x = 16,686.97
  5. Step 5: Solve for x
    x = 16,686.97/127.42
  6. Step 6: Final answer
    x = 130.96

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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.