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Finding the Fourth Proportional to 66.25, 91.44 and 41.71

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Solution

The fourth proportional to 66.25, 91.44 and 41.71 is: 57.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.25 : 91.44 = 41.71 : x
  2. Step 2: Convert to fraction form
    66.25/91.44 = 41.71/x
  3. Step 3: Cross multiply
    66.25x = 91.44 × 41.71
  4. Step 4: Simplify right side
    66.25x = 3,813.96
  5. Step 5: Solve for x
    x = 3,813.96/66.25
  6. Step 6: Final answer
    x = 57.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.