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Finding the Fourth Proportional to 24.68, 34.14 and 23.16

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Solution

The fourth proportional to 24.68, 34.14 and 23.16 is: 32.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.68 : 34.14 = 23.16 : x
  2. Step 2: Convert to fraction form
    24.68/34.14 = 23.16/x
  3. Step 3: Cross multiply
    24.68x = 34.14 × 23.16
  4. Step 4: Simplify right side
    24.68x = 790.68
  5. Step 5: Solve for x
    x = 790.68/24.68
  6. Step 6: Final answer
    x = 32.04

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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.