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Finding the Fourth Proportional to 41.77, 62.91 and 37.77

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Solution

The fourth proportional to 41.77, 62.91 and 37.77 is: 56.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.77 : 62.91 = 37.77 : x
  2. Step 2: Convert to fraction form
    41.77/62.91 = 37.77/x
  3. Step 3: Cross multiply
    41.77x = 62.91 × 37.77
  4. Step 4: Simplify right side
    41.77x = 2,376.11
  5. Step 5: Solve for x
    x = 2,376.11/41.77
  6. Step 6: Final answer
    x = 56.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.