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Finding the Fourth Proportional to 32.24, 48.31 and 15.99

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Solution

The fourth proportional to 32.24, 48.31 and 15.99 is: 23.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.24 : 48.31 = 15.99 : x
  2. Step 2: Convert to fraction form
    32.24/48.31 = 15.99/x
  3. Step 3: Cross multiply
    32.24x = 48.31 × 15.99
  4. Step 4: Simplify right side
    32.24x = 772.48
  5. Step 5: Solve for x
    x = 772.48/32.24
  6. Step 6: Final answer
    x = 23.96

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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.