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Finding the Fourth Proportional to 127.80, 176.41 and 84.13

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Solution

The fourth proportional to 127.80, 176.41 and 84.13 is: 116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.80 : 176.41 = 84.13 : x
  2. Step 2: Convert to fraction form
    127.80/176.41 = 84.13/x
  3. Step 3: Cross multiply
    127.80x = 176.41 × 84.13
  4. Step 4: Simplify right side
    127.80x = 14,841.37
  5. Step 5: Solve for x
    x = 14,841.37/127.80
  6. Step 6: Final answer
    x = 116.13

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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.