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Finding the Fourth Proportional to 127.65, 176.19 and 81.03

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Solution

The fourth proportional to 127.65, 176.19 and 81.03 is: 111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.65 : 176.19 = 81.03 : x
  2. Step 2: Convert to fraction form
    127.65/176.19 = 81.03/x
  3. Step 3: Cross multiply
    127.65x = 176.19 × 81.03
  4. Step 4: Simplify right side
    127.65x = 14,276.68
  5. Step 5: Solve for x
    x = 14,276.68/127.65
  6. Step 6: Final answer
    x = 111.84

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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.