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Finding the Fourth Proportional to 66.98, 100.49 and 30.90

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Solution

The fourth proportional to 66.98, 100.49 and 30.90 is: 46.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.98 : 100.49 = 30.90 : x
  2. Step 2: Convert to fraction form
    66.98/100.49 = 30.90/x
  3. Step 3: Cross multiply
    66.98x = 100.49 × 30.90
  4. Step 4: Simplify right side
    66.98x = 3,105.14
  5. Step 5: Solve for x
    x = 3,105.14/66.98
  6. Step 6: Final answer
    x = 46.36

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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.