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Finding the Fourth Proportional to 24.34, 33.59 and 13.42

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Solution

The fourth proportional to 24.34, 33.59 and 13.42 is: 18.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.34 : 33.59 = 13.42 : x
  2. Step 2: Convert to fraction form
    24.34/33.59 = 13.42/x
  3. Step 3: Cross multiply
    24.34x = 33.59 × 13.42
  4. Step 4: Simplify right side
    24.34x = 450.81
  5. Step 5: Solve for x
    x = 450.81/24.34
  6. Step 6: Final answer
    x = 18.52

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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.