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Finding the Fourth Proportional to 127.56, 191.66 and 69.82

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Solution

The fourth proportional to 127.56, 191.66 and 69.82 is: 104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.56 : 191.66 = 69.82 : x
  2. Step 2: Convert to fraction form
    127.56/191.66 = 69.82/x
  3. Step 3: Cross multiply
    127.56x = 191.66 × 69.82
  4. Step 4: Simplify right side
    127.56x = 13,381.70
  5. Step 5: Solve for x
    x = 13,381.70/127.56
  6. Step 6: Final answer
    x = 104.91

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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.