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Finding the Fourth Proportional to 69.80, 96.33 and 46.49

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Solution

The fourth proportional to 69.80, 96.33 and 46.49 is: 64.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.80 : 96.33 = 46.49 : x
  2. Step 2: Convert to fraction form
    69.80/96.33 = 46.49/x
  3. Step 3: Cross multiply
    69.80x = 96.33 × 46.49
  4. Step 4: Simplify right side
    69.80x = 4,478.38
  5. Step 5: Solve for x
    x = 4,478.38/69.80
  6. Step 6: Final answer
    x = 64.16

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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.