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Finding the Fourth Proportional to 127.85, 176.49 and 101.66

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Solution

The fourth proportional to 127.85, 176.49 and 101.66 is: 140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.85 : 176.49 = 101.66 : x
  2. Step 2: Convert to fraction form
    127.85/176.49 = 101.66/x
  3. Step 3: Cross multiply
    127.85x = 176.49 × 101.66
  4. Step 4: Simplify right side
    127.85x = 17,941.09
  5. Step 5: Solve for x
    x = 17,941.09/127.85
  6. Step 6: Final answer
    x = 140.33

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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.