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Finding the Fourth Proportional to 127.71, 191.56 and 45.43

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Solution

The fourth proportional to 127.71, 191.56 and 45.43 is: 68.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.71 : 191.56 = 45.43 : x
  2. Step 2: Convert to fraction form
    127.71/191.56 = 45.43/x
  3. Step 3: Cross multiply
    127.71x = 191.56 × 45.43
  4. Step 4: Simplify right side
    127.71x = 8,702.57
  5. Step 5: Solve for x
    x = 8,702.57/127.71
  6. Step 6: Final answer
    x = 68.14

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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.