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Finding the Fourth Proportional to 41.57, 62.05 and 37.57

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Solution

The fourth proportional to 41.57, 62.05 and 37.57 is: 56.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.57 : 62.05 = 37.57 : x
  2. Step 2: Convert to fraction form
    41.57/62.05 = 37.57/x
  3. Step 3: Cross multiply
    41.57x = 62.05 × 37.57
  4. Step 4: Simplify right side
    41.57x = 2,331.22
  5. Step 5: Solve for x
    x = 2,331.22/41.57
  6. Step 6: Final answer
    x = 56.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.