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Finding the Fourth Proportional to 81, 121.49 and 32.24

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Solution

The fourth proportional to 81, 121.49 and 32.24 is: 48.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81 : 121.49 = 32.24 : x
  2. Step 2: Convert to fraction form
    81/121.49 = 32.24/x
  3. Step 3: Cross multiply
    81x = 121.49 × 32.24
  4. Step 4: Simplify right side
    81x = 3,917.10
  5. Step 5: Solve for x
    x = 3,917.10/81
  6. Step 6: Final answer
    x = 48.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.