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Finding the Fourth Proportional to 48.33, 72.50 and 24.28

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Solution

The fourth proportional to 48.33, 72.50 and 24.28 is: 36.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.33 : 72.50 = 24.28 : x
  2. Step 2: Convert to fraction form
    48.33/72.50 = 24.28/x
  3. Step 3: Cross multiply
    48.33x = 72.50 × 24.28
  4. Step 4: Simplify right side
    48.33x = 1,760.41
  5. Step 5: Solve for x
    x = 1,760.41/48.33
  6. Step 6: Final answer
    x = 36.42

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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.