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Finding the Fourth Proportional to 127.52, 191.28 and 120.16

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Solution

The fourth proportional to 127.52, 191.28 and 120.16 is: 180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.52 : 191.28 = 120.16 : x
  2. Step 2: Convert to fraction form
    127.52/191.28 = 120.16/x
  3. Step 3: Cross multiply
    127.52x = 191.28 × 120.16
  4. Step 4: Simplify right side
    127.52x = 22,984.20
  5. Step 5: Solve for x
    x = 22,984.20/127.52
  6. Step 6: Final answer
    x = 180.24

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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.