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Finding the Fourth Proportional to 48.43, 72.14 and 46.09

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Solution

The fourth proportional to 48.43, 72.14 and 46.09 is: 68.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.43 : 72.14 = 46.09 : x
  2. Step 2: Convert to fraction form
    48.43/72.14 = 46.09/x
  3. Step 3: Cross multiply
    48.43x = 72.14 × 46.09
  4. Step 4: Simplify right side
    48.43x = 3,324.93
  5. Step 5: Solve for x
    x = 3,324.93/48.43
  6. Step 6: Final answer
    x = 68.65

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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.