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Finding the Fourth Proportional to 127.92, 192.24 and 76.58

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Solution

The fourth proportional to 127.92, 192.24 and 76.58 is: 115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.92 : 192.24 = 76.58 : x
  2. Step 2: Convert to fraction form
    127.92/192.24 = 76.58/x
  3. Step 3: Cross multiply
    127.92x = 192.24 × 76.58
  4. Step 4: Simplify right side
    127.92x = 14,720.78
  5. Step 5: Solve for x
    x = 14,720.78/127.92
  6. Step 6: Final answer
    x = 115.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.