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Finding the Fourth Proportional to 75.50, 113 and 66.98

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Solution

The fourth proportional to 75.50, 113 and 66.98 is: 100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.50 : 113 = 66.98 : x
  2. Step 2: Convert to fraction form
    75.50/113 = 66.98/x
  3. Step 3: Cross multiply
    75.50x = 113 × 66.98
  4. Step 4: Simplify right side
    75.50x = 7,568.74
  5. Step 5: Solve for x
    x = 7,568.74/75.50
  6. Step 6: Final answer
    x = 100.25

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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.