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Finding the Fourth Proportional to 52.49, 79.18 and 51.97

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Solution

The fourth proportional to 52.49, 79.18 and 51.97 is: 78.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.49 : 79.18 = 51.97 : x
  2. Step 2: Convert to fraction form
    52.49/79.18 = 51.97/x
  3. Step 3: Cross multiply
    52.49x = 79.18 × 51.97
  4. Step 4: Simplify right side
    52.49x = 4,114.33
  5. Step 5: Solve for x
    x = 4,114.33/52.49
  6. Step 6: Final answer
    x = 78.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.