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Finding the Fourth Proportional to 127.55, 176.01 and 83.90

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Solution

The fourth proportional to 127.55, 176.01 and 83.90 is: 115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.55 : 176.01 = 83.90 : x
  2. Step 2: Convert to fraction form
    127.55/176.01 = 83.90/x
  3. Step 3: Cross multiply
    127.55x = 176.01 × 83.90
  4. Step 4: Simplify right side
    127.55x = 14,767.24
  5. Step 5: Solve for x
    x = 14,767.24/127.55
  6. Step 6: Final answer
    x = 115.78

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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.