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Finding the Fourth Proportional to 75.99, 113.15 and 75.78

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Solution

The fourth proportional to 75.99, 113.15 and 75.78 is: 112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.99 : 113.15 = 75.78 : x
  2. Step 2: Convert to fraction form
    75.99/113.15 = 75.78/x
  3. Step 3: Cross multiply
    75.99x = 113.15 × 75.78
  4. Step 4: Simplify right side
    75.99x = 8,574.13
  5. Step 5: Solve for x
    x = 8,574.13/75.99
  6. Step 6: Final answer
    x = 112.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.