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Finding the Fourth Proportional to 24.24, 33.42 and 24.10

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Solution

The fourth proportional to 24.24, 33.42 and 24.10 is: 33.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.24 : 33.42 = 24.10 : x
  2. Step 2: Convert to fraction form
    24.24/33.42 = 24.10/x
  3. Step 3: Cross multiply
    24.24x = 33.42 × 24.10
  4. Step 4: Simplify right side
    24.24x = 805.42
  5. Step 5: Solve for x
    x = 805.42/24.24
  6. Step 6: Final answer
    x = 33.23

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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.