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Finding the Fourth Proportional to 41.12, 61.70 and 36.66

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Solution

The fourth proportional to 41.12, 61.70 and 36.66 is: 55.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.12 : 61.70 = 36.66 : x
  2. Step 2: Convert to fraction form
    41.12/61.70 = 36.66/x
  3. Step 3: Cross multiply
    41.12x = 61.70 × 36.66
  4. Step 4: Simplify right side
    41.12x = 2,261.92
  5. Step 5: Solve for x
    x = 2,261.92/41.12
  6. Step 6: Final answer
    x = 55.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.