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Finding the Fourth Proportional to 127.66, 191.46 and 84.30

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Solution

The fourth proportional to 127.66, 191.46 and 84.30 is: 126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.66 : 191.46 = 84.30 : x
  2. Step 2: Convert to fraction form
    127.66/191.46 = 84.30/x
  3. Step 3: Cross multiply
    127.66x = 191.46 × 84.30
  4. Step 4: Simplify right side
    127.66x = 16,140.08
  5. Step 5: Solve for x
    x = 16,140.08/127.66
  6. Step 6: Final answer
    x = 126.43

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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.