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Finding the Fourth Proportional to 41.40, 61.71 and 40.77

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Solution

The fourth proportional to 41.40, 61.71 and 40.77 is: 60.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.40 : 61.71 = 40.77 : x
  2. Step 2: Convert to fraction form
    41.40/61.71 = 40.77/x
  3. Step 3: Cross multiply
    41.40x = 61.71 × 40.77
  4. Step 4: Simplify right side
    41.40x = 2,515.92
  5. Step 5: Solve for x
    x = 2,515.92/41.40
  6. Step 6: Final answer
    x = 60.77

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Why These Related Problems?

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