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Finding the Fourth Proportional to 127.76, 176.32 and 80.53

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Solution

The fourth proportional to 127.76, 176.32 and 80.53 is: 111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.76 : 176.32 = 80.53 : x
  2. Step 2: Convert to fraction form
    127.76/176.32 = 80.53/x
  3. Step 3: Cross multiply
    127.76x = 176.32 × 80.53
  4. Step 4: Simplify right side
    127.76x = 14,197.77
  5. Step 5: Solve for x
    x = 14,197.77/127.76
  6. Step 6: Final answer
    x = 111.13

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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.