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Finding the Fourth Proportional to 24.13, 36.02 and 21.46

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Solution

The fourth proportional to 24.13, 36.02 and 21.46 is: 32.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.13 : 36.02 = 21.46 : x
  2. Step 2: Convert to fraction form
    24.13/36.02 = 21.46/x
  3. Step 3: Cross multiply
    24.13x = 36.02 × 21.46
  4. Step 4: Simplify right side
    24.13x = 772.99
  5. Step 5: Solve for x
    x = 772.99/24.13
  6. Step 6: Final answer
    x = 32.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.