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Finding the Fourth Proportional to 48.08, 72.05 and 24

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Solution

The fourth proportional to 48.08, 72.05 and 24 is: 35.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.08 : 72.05 = 24 : x
  2. Step 2: Convert to fraction form
    48.08/72.05 = 24/x
  3. Step 3: Cross multiply
    48.08x = 72.05 × 24
  4. Step 4: Simplify right side
    48.08x = 1,729.08
  5. Step 5: Solve for x
    x = 1,729.08/48.08
  6. Step 6: Final answer
    x = 35.97

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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.