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Finding the Fourth Proportional to 41.17, 61.65 and 37.83

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Solution

The fourth proportional to 41.17, 61.65 and 37.83 is: 56.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.17 : 61.65 = 37.83 : x
  2. Step 2: Convert to fraction form
    41.17/61.65 = 37.83/x
  3. Step 3: Cross multiply
    41.17x = 61.65 × 37.83
  4. Step 4: Simplify right side
    41.17x = 2,332.17
  5. Step 5: Solve for x
    x = 2,332.17/41.17
  6. Step 6: Final answer
    x = 56.65

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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.