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Finding the Fourth Proportional to 48.25, 72.47 and 46.13

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Solution

The fourth proportional to 48.25, 72.47 and 46.13 is: 69.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.25 : 72.47 = 46.13 : x
  2. Step 2: Convert to fraction form
    48.25/72.47 = 46.13/x
  3. Step 3: Cross multiply
    48.25x = 72.47 × 46.13
  4. Step 4: Simplify right side
    48.25x = 3,342.79
  5. Step 5: Solve for x
    x = 3,342.79/48.25
  6. Step 6: Final answer
    x = 69.28

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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.