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Finding the Fourth Proportional to 75.95, 113.26 and 66.23

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Solution

The fourth proportional to 75.95, 113.26 and 66.23 is: 98.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.95 : 113.26 = 66.23 : x
  2. Step 2: Convert to fraction form
    75.95/113.26 = 66.23/x
  3. Step 3: Cross multiply
    75.95x = 113.26 × 66.23
  4. Step 4: Simplify right side
    75.95x = 7,500.48
  5. Step 5: Solve for x
    x = 7,500.48/75.95
  6. Step 6: Final answer
    x = 98.76

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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.