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Finding the Fourth Proportional to 66.09, 91.18 and 41.54

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Solution

The fourth proportional to 66.09, 91.18 and 41.54 is: 57.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.09 : 91.18 = 41.54 : x
  2. Step 2: Convert to fraction form
    66.09/91.18 = 41.54/x
  3. Step 3: Cross multiply
    66.09x = 91.18 × 41.54
  4. Step 4: Simplify right side
    66.09x = 3,787.74
  5. Step 5: Solve for x
    x = 3,787.74/66.09
  6. Step 6: Final answer
    x = 57.31

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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.