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Finding the Fourth Proportional to 127.68, 191.47 and 66.80

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Solution

The fourth proportional to 127.68, 191.47 and 66.80 is: 100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.68 : 191.47 = 66.80 : x
  2. Step 2: Convert to fraction form
    127.68/191.47 = 66.80/x
  3. Step 3: Cross multiply
    127.68x = 191.47 × 66.80
  4. Step 4: Simplify right side
    127.68x = 12,789.86
  5. Step 5: Solve for x
    x = 12,789.86/127.68
  6. Step 6: Final answer
    x = 100.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.