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Finding the Fourth Proportional to 52.38, 71.96 and 46.94

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Solution

The fourth proportional to 52.38, 71.96 and 46.94 is: 64.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.38 : 71.96 = 46.94 : x
  2. Step 2: Convert to fraction form
    52.38/71.96 = 46.94/x
  3. Step 3: Cross multiply
    52.38x = 71.96 × 46.94
  4. Step 4: Simplify right side
    52.38x = 3,377.21
  5. Step 5: Solve for x
    x = 3,377.21/52.38
  6. Step 6: Final answer
    x = 64.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.