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Finding the Fourth Proportional to 66.11, 98.96 and 47.75

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Solution

The fourth proportional to 66.11, 98.96 and 47.75 is: 71.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.11 : 98.96 = 47.75 : x
  2. Step 2: Convert to fraction form
    66.11/98.96 = 47.75/x
  3. Step 3: Cross multiply
    66.11x = 98.96 × 47.75
  4. Step 4: Simplify right side
    66.11x = 4,725.35
  5. Step 5: Solve for x
    x = 4,725.35/66.11
  6. Step 6: Final answer
    x = 71.48

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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.