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Finding the Fourth Proportional to 27.82, 41.57 and 24.78

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Solution

The fourth proportional to 27.82, 41.57 and 24.78 is: 37.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.82 : 41.57 = 24.78 : x
  2. Step 2: Convert to fraction form
    27.82/41.57 = 24.78/x
  3. Step 3: Cross multiply
    27.82x = 41.57 × 24.78
  4. Step 4: Simplify right side
    27.82x = 1,030.10
  5. Step 5: Solve for x
    x = 1,030.10/27.82
  6. Step 6: Final answer
    x = 37.03

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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.