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Finding the Fourth Proportional to 127.58, 191.50 and 66.69

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Solution

The fourth proportional to 127.58, 191.50 and 66.69 is: 100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.58 : 191.50 = 66.69 : x
  2. Step 2: Convert to fraction form
    127.58/191.50 = 66.69/x
  3. Step 3: Cross multiply
    127.58x = 191.50 × 66.69
  4. Step 4: Simplify right side
    127.58x = 12,770.97
  5. Step 5: Solve for x
    x = 12,770.97/127.58
  6. Step 6: Final answer
    x = 100.11

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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.