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Finding the Fourth Proportional to 24.21, 36.12 and 19.65

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Solution

The fourth proportional to 24.21, 36.12 and 19.65 is: 29.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.21 : 36.12 = 19.65 : x
  2. Step 2: Convert to fraction form
    24.21/36.12 = 19.65/x
  3. Step 3: Cross multiply
    24.21x = 36.12 × 19.65
  4. Step 4: Simplify right side
    24.21x = 709.76
  5. Step 5: Solve for x
    x = 709.76/24.21
  6. Step 6: Final answer
    x = 29.32

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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.