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Finding the Fourth Proportional to 40.88, 61.24 and 32.77

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Solution

The fourth proportional to 40.88, 61.24 and 32.77 is: 49.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.88 : 61.24 = 32.77 : x
  2. Step 2: Convert to fraction form
    40.88/61.24 = 32.77/x
  3. Step 3: Cross multiply
    40.88x = 61.24 × 32.77
  4. Step 4: Simplify right side
    40.88x = 2,006.83
  5. Step 5: Solve for x
    x = 2,006.83/40.88
  6. Step 6: Final answer
    x = 49.09

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Why These Related Problems?

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