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Finding the Fourth Proportional to 127.17, 189.92 and 120.15

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Solution

The fourth proportional to 127.17, 189.92 and 120.15 is: 179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.17 : 189.92 = 120.15 : x
  2. Step 2: Convert to fraction form
    127.17/189.92 = 120.15/x
  3. Step 3: Cross multiply
    127.17x = 189.92 × 120.15
  4. Step 4: Simplify right side
    127.17x = 22,818.89
  5. Step 5: Solve for x
    x = 22,818.89/127.17
  6. Step 6: Final answer
    x = 179.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.