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Finding the Fourth Proportional to 24.15, 33.32 and 21.24

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Solution

The fourth proportional to 24.15, 33.32 and 21.24 is: 29.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.15 : 33.32 = 21.24 : x
  2. Step 2: Convert to fraction form
    24.15/33.32 = 21.24/x
  3. Step 3: Cross multiply
    24.15x = 33.32 × 21.24
  4. Step 4: Simplify right side
    24.15x = 707.61
  5. Step 5: Solve for x
    x = 707.61/24.15
  6. Step 6: Final answer
    x = 29.30

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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.