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Finding the Fourth Proportional to 27.80, 41.76 and 24.24

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Solution

The fourth proportional to 27.80, 41.76 and 24.24 is: 36.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.80 : 41.76 = 24.24 : x
  2. Step 2: Convert to fraction form
    27.80/41.76 = 24.24/x
  3. Step 3: Cross multiply
    27.80x = 41.76 × 24.24
  4. Step 4: Simplify right side
    27.80x = 1,012.26
  5. Step 5: Solve for x
    x = 1,012.26/27.80
  6. Step 6: Final answer
    x = 36.41

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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.