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Finding the Fourth Proportional to 32.23, 44.46 and 24.02

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Solution

The fourth proportional to 32.23, 44.46 and 24.02 is: 33.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.23 : 44.46 = 24.02 : x
  2. Step 2: Convert to fraction form
    32.23/44.46 = 24.02/x
  3. Step 3: Cross multiply
    32.23x = 44.46 × 24.02
  4. Step 4: Simplify right side
    32.23x = 1,067.93
  5. Step 5: Solve for x
    x = 1,067.93/32.23
  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.