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Finding the Fourth Proportional to 48.34, 72.65 and 24.31

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Solution

The fourth proportional to 48.34, 72.65 and 24.31 is: 36.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.34 : 72.65 = 24.31 : x
  2. Step 2: Convert to fraction form
    48.34/72.65 = 24.31/x
  3. Step 3: Cross multiply
    48.34x = 72.65 × 24.31
  4. Step 4: Simplify right side
    48.34x = 1,766.12
  5. Step 5: Solve for x
    x = 1,766.12/48.34
  6. Step 6: Final answer
    x = 36.54

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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.