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Finding the Fourth Proportional to 76.25, 105.19 and 48.61

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Solution

The fourth proportional to 76.25, 105.19 and 48.61 is: 67.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.25 : 105.19 = 48.61 : x
  2. Step 2: Convert to fraction form
    76.25/105.19 = 48.61/x
  3. Step 3: Cross multiply
    76.25x = 105.19 × 48.61
  4. Step 4: Simplify right side
    76.25x = 5,112.90
  5. Step 5: Solve for x
    x = 5,112.90/76.25
  6. Step 6: Final answer
    x = 67.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.