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Finding the Fourth Proportional to 32.81, 45.24 and 22.46

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Solution

The fourth proportional to 32.81, 45.24 and 22.46 is: 30.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.81 : 45.24 = 22.46 : x
  2. Step 2: Convert to fraction form
    32.81/45.24 = 22.46/x
  3. Step 3: Cross multiply
    32.81x = 45.24 × 22.46
  4. Step 4: Simplify right side
    32.81x = 1,015.86
  5. Step 5: Solve for x
    x = 1,015.86/32.81
  6. Step 6: Final answer
    x = 30.97

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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.