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Finding the Fourth Proportional to 48.87, 72.78 and 46.55

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Solution

The fourth proportional to 48.87, 72.78 and 46.55 is: 69.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.87 : 72.78 = 46.55 : x
  2. Step 2: Convert to fraction form
    48.87/72.78 = 46.55/x
  3. Step 3: Cross multiply
    48.87x = 72.78 × 46.55
  4. Step 4: Simplify right side
    48.87x = 3,387.55
  5. Step 5: Solve for x
    x = 3,387.55/48.87
  6. Step 6: Final answer
    x = 69.32

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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.