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Finding the Fourth Proportional to 48.06, 71.97 and 41.34

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Solution

The fourth proportional to 48.06, 71.97 and 41.34 is: 61.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.06 : 71.97 = 41.34 : x
  2. Step 2: Convert to fraction form
    48.06/71.97 = 41.34/x
  3. Step 3: Cross multiply
    48.06x = 71.97 × 41.34
  4. Step 4: Simplify right side
    48.06x = 2,975.24
  5. Step 5: Solve for x
    x = 2,975.24/48.06
  6. Step 6: Final answer
    x = 61.91

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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.