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Finding the Fourth Proportional to 75.98, 113.10 and 75.53

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Solution

The fourth proportional to 75.98, 113.10 and 75.53 is: 112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.98 : 113.10 = 75.53 : x
  2. Step 2: Convert to fraction form
    75.98/113.10 = 75.53/x
  3. Step 3: Cross multiply
    75.98x = 113.10 × 75.53
  4. Step 4: Simplify right side
    75.98x = 8,542.16
  5. Step 5: Solve for x
    x = 8,542.16/75.98
  6. Step 6: Final answer
    x = 112.43

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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.