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Finding the Fourth Proportional to 48.35, 72.81 and 44.57

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Solution

The fourth proportional to 48.35, 72.81 and 44.57 is: 67.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.35 : 72.81 = 44.57 : x
  2. Step 2: Convert to fraction form
    48.35/72.81 = 44.57/x
  3. Step 3: Cross multiply
    48.35x = 72.81 × 44.57
  4. Step 4: Simplify right side
    48.35x = 3,245.14
  5. Step 5: Solve for x
    x = 3,245.14/48.35
  6. Step 6: Final answer
    x = 67.12

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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.