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Finding the Fourth Proportional to 66.99, 100.47 and 32.75

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Solution

The fourth proportional to 66.99, 100.47 and 32.75 is: 49.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.99 : 100.47 = 32.75 : x
  2. Step 2: Convert to fraction form
    66.99/100.47 = 32.75/x
  3. Step 3: Cross multiply
    66.99x = 100.47 × 32.75
  4. Step 4: Simplify right side
    66.99x = 3,290.11
  5. Step 5: Solve for x
    x = 3,290.11/66.99
  6. Step 6: Final answer
    x = 49.12

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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.