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Finding the Fourth Proportional to 32.19, 44.41 and 24.02

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Solution

The fourth proportional to 32.19, 44.41 and 24.02 is: 33.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.19 : 44.41 = 24.02 : x
  2. Step 2: Convert to fraction form
    32.19/44.41 = 24.02/x
  3. Step 3: Cross multiply
    32.19x = 44.41 × 24.02
  4. Step 4: Simplify right side
    32.19x = 1,066.73
  5. Step 5: Solve for x
    x = 1,066.73/32.19
  6. Step 6: Final answer
    x = 33.14

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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.