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Finding the Fourth Proportional to 48.06, 71.96 and 43.74

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Solution

The fourth proportional to 48.06, 71.96 and 43.74 is: 65.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.06 : 71.96 = 43.74 : x
  2. Step 2: Convert to fraction form
    48.06/71.96 = 43.74/x
  3. Step 3: Cross multiply
    48.06x = 71.96 × 43.74
  4. Step 4: Simplify right side
    48.06x = 3,147.31
  5. Step 5: Solve for x
    x = 3,147.31/48.06
  6. Step 6: Final answer
    x = 65.49

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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.