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Finding the Fourth Proportional to 32.25, 48.57 and 24.19

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Solution

The fourth proportional to 32.25, 48.57 and 24.19 is: 36.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.25 : 48.57 = 24.19 : x
  2. Step 2: Convert to fraction form
    32.25/48.57 = 24.19/x
  3. Step 3: Cross multiply
    32.25x = 48.57 × 24.19
  4. Step 4: Simplify right side
    32.25x = 1,174.54
  5. Step 5: Solve for x
    x = 1,174.54/32.25
  6. Step 6: Final answer
    x = 36.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.