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Finding the Fourth Proportional to 32.81, 44.98 and 32.20

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Solution

The fourth proportional to 32.81, 44.98 and 32.20 is: 44.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.81 : 44.98 = 32.20 : x
  2. Step 2: Convert to fraction form
    32.81/44.98 = 32.20/x
  3. Step 3: Cross multiply
    32.81x = 44.98 × 32.20
  4. Step 4: Simplify right side
    32.81x = 1,447.97
  5. Step 5: Solve for x
    x = 1,447.97/32.81
  6. Step 6: Final answer
    x = 44.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.