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Finding the Fourth Proportional to 48.30, 71.97 and 46.12

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Solution

The fourth proportional to 48.30, 71.97 and 46.12 is: 68.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.30 : 71.97 = 46.12 : x
  2. Step 2: Convert to fraction form
    48.30/71.97 = 46.12/x
  3. Step 3: Cross multiply
    48.30x = 71.97 × 46.12
  4. Step 4: Simplify right side
    48.30x = 3,319.26
  5. Step 5: Solve for x
    x = 3,319.26/48.30
  6. Step 6: Final answer
    x = 68.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.