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Finding the Fourth Proportional to 127.66, 191.37 and 66.83

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Solution

The fourth proportional to 127.66, 191.37 and 66.83 is: 100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.66 : 191.37 = 66.83 : x
  2. Step 2: Convert to fraction form
    127.66/191.37 = 66.83/x
  3. Step 3: Cross multiply
    127.66x = 191.37 × 66.83
  4. Step 4: Simplify right side
    127.66x = 12,788.77
  5. Step 5: Solve for x
    x = 12,788.77/127.66
  6. Step 6: Final answer
    x = 100.18

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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.