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Finding the Fourth Proportional to 74.87, 103.16 and 48.61

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Solution

The fourth proportional to 74.87, 103.16 and 48.61 is: 66.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.87 : 103.16 = 48.61 : x
  2. Step 2: Convert to fraction form
    74.87/103.16 = 48.61/x
  3. Step 3: Cross multiply
    74.87x = 103.16 × 48.61
  4. Step 4: Simplify right side
    74.87x = 5,014.47
  5. Step 5: Solve for x
    x = 5,014.47/74.87
  6. Step 6: Final answer
    x = 66.98

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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.