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Finding the Fourth Proportional to 24.64, 34.05 and 22.84

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Solution

The fourth proportional to 24.64, 34.05 and 22.84 is: 31.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.64 : 34.05 = 22.84 : x
  2. Step 2: Convert to fraction form
    24.64/34.05 = 22.84/x
  3. Step 3: Cross multiply
    24.64x = 34.05 × 22.84
  4. Step 4: Simplify right side
    24.64x = 777.70
  5. Step 5: Solve for x
    x = 777.70/24.64
  6. Step 6: Final answer
    x = 31.56

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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.