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Finding the Fourth Proportional to 75.80, 113.73 and 52.97

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Solution

The fourth proportional to 75.80, 113.73 and 52.97 is: 79.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.80 : 113.73 = 52.97 : x
  2. Step 2: Convert to fraction form
    75.80/113.73 = 52.97/x
  3. Step 3: Cross multiply
    75.80x = 113.73 × 52.97
  4. Step 4: Simplify right side
    75.80x = 6,024.28
  5. Step 5: Solve for x
    x = 6,024.28/75.80
  6. Step 6: Final answer
    x = 79.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.