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Finding the Fourth Proportional to 24.59, 33.87 and 22.84

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Solution

The fourth proportional to 24.59, 33.87 and 22.84 is: 31.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.59 : 33.87 = 22.84 : x
  2. Step 2: Convert to fraction form
    24.59/33.87 = 22.84/x
  3. Step 3: Cross multiply
    24.59x = 33.87 × 22.84
  4. Step 4: Simplify right side
    24.59x = 773.31
  5. Step 5: Solve for x
    x = 773.31/24.59
  6. Step 6: Final answer
    x = 31.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.