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Finding the Fourth Proportional to 24.13, 33.14 and 21.40

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Solution

The fourth proportional to 24.13, 33.14 and 21.40 is: 29.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.13 : 33.14 = 21.40 : x
  2. Step 2: Convert to fraction form
    24.13/33.14 = 21.40/x
  3. Step 3: Cross multiply
    24.13x = 33.14 × 21.40
  4. Step 4: Simplify right side
    24.13x = 709.01
  5. Step 5: Solve for x
    x = 709.01/24.13
  6. Step 6: Final answer
    x = 29.39

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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.