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Finding the Fourth Proportional to 66.75, 99.86 and 55.43

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Solution

The fourth proportional to 66.75, 99.86 and 55.43 is: 82.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.75 : 99.86 = 55.43 : x
  2. Step 2: Convert to fraction form
    66.75/99.86 = 55.43/x
  3. Step 3: Cross multiply
    66.75x = 99.86 × 55.43
  4. Step 4: Simplify right side
    66.75x = 5,535.56
  5. Step 5: Solve for x
    x = 5,535.56/66.75
  6. Step 6: Final answer
    x = 82.93

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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.