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Finding the Fourth Proportional to 66.56, 99.76 and 25.96

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Solution

The fourth proportional to 66.56, 99.76 and 25.96 is: 38.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.56 : 99.76 = 25.96 : x
  2. Step 2: Convert to fraction form
    66.56/99.76 = 25.96/x
  3. Step 3: Cross multiply
    66.56x = 99.76 × 25.96
  4. Step 4: Simplify right side
    66.56x = 2,589.77
  5. Step 5: Solve for x
    x = 2,589.77/66.56
  6. Step 6: Final answer
    x = 38.91

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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.