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Finding the Fourth Proportional to 66.29, 99.41 and 27.78

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Solution

The fourth proportional to 66.29, 99.41 and 27.78 is: 41.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.29 : 99.41 = 27.78 : x
  2. Step 2: Convert to fraction form
    66.29/99.41 = 27.78/x
  3. Step 3: Cross multiply
    66.29x = 99.41 × 27.78
  4. Step 4: Simplify right side
    66.29x = 2,761.47
  5. Step 5: Solve for x
    x = 2,761.47/66.29
  6. Step 6: Final answer
    x = 41.66

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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.