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Finding the Fourth Proportional to 127.71, 191.43 and 82.15

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Solution

The fourth proportional to 127.71, 191.43 and 82.15 is: 123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.71 : 191.43 = 82.15 : x
  2. Step 2: Convert to fraction form
    127.71/191.43 = 82.15/x
  3. Step 3: Cross multiply
    127.71x = 191.43 × 82.15
  4. Step 4: Simplify right side
    127.71x = 15,725.50
  5. Step 5: Solve for x
    x = 15,725.50/127.71
  6. Step 6: Final answer
    x = 123.13

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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.