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Finding the Fourth Proportional to 32.24, 48.32 and 16.22

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Solution

The fourth proportional to 32.24, 48.32 and 16.22 is: 24.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.24 : 48.32 = 16.22 : x
  2. Step 2: Convert to fraction form
    32.24/48.32 = 16.22/x
  3. Step 3: Cross multiply
    32.24x = 48.32 × 16.22
  4. Step 4: Simplify right side
    32.24x = 783.75
  5. Step 5: Solve for x
    x = 783.75/32.24
  6. Step 6: Final answer
    x = 24.31

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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.