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Finding the Fourth Proportional to 24.64, 33.84 and 23.14

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Solution

The fourth proportional to 24.64, 33.84 and 23.14 is: 31.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.64 : 33.84 = 23.14 : x
  2. Step 2: Convert to fraction form
    24.64/33.84 = 23.14/x
  3. Step 3: Cross multiply
    24.64x = 33.84 × 23.14
  4. Step 4: Simplify right side
    24.64x = 783.06
  5. Step 5: Solve for x
    x = 783.06/24.64
  6. Step 6: Final answer
    x = 31.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.