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Finding the Fourth Proportional to 48.92, 72.90 and 46.22

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Solution

The fourth proportional to 48.92, 72.90 and 46.22 is: 68.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.92 : 72.90 = 46.22 : x
  2. Step 2: Convert to fraction form
    48.92/72.90 = 46.22/x
  3. Step 3: Cross multiply
    48.92x = 72.90 × 46.22
  4. Step 4: Simplify right side
    48.92x = 3,369.07
  5. Step 5: Solve for x
    x = 3,369.07/48.92
  6. Step 6: Final answer
    x = 68.88

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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.