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Finding the Fourth Proportional to 127.64, 176.10 and 75.86

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Solution

The fourth proportional to 127.64, 176.10 and 75.86 is: 104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.64 : 176.10 = 75.86 : x
  2. Step 2: Convert to fraction form
    127.64/176.10 = 75.86/x
  3. Step 3: Cross multiply
    127.64x = 176.10 × 75.86
  4. Step 4: Simplify right side
    127.64x = 13,358.95
  5. Step 5: Solve for x
    x = 13,358.95/127.64
  6. Step 6: Final answer
    x = 104.66

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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.