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Finding the Fourth Proportional to 48.81, 67.49 and 46.65

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Solution

The fourth proportional to 48.81, 67.49 and 46.65 is: 64.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.81 : 67.49 = 46.65 : x
  2. Step 2: Convert to fraction form
    48.81/67.49 = 46.65/x
  3. Step 3: Cross multiply
    48.81x = 67.49 × 46.65
  4. Step 4: Simplify right side
    48.81x = 3,148.41
  5. Step 5: Solve for x
    x = 3,148.41/48.81
  6. Step 6: Final answer
    x = 64.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.