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Finding the Fourth Proportional to 34.97, 52.16 and 32.69

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Solution

The fourth proportional to 34.97, 52.16 and 32.69 is: 48.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.97 : 52.16 = 32.69 : x
  2. Step 2: Convert to fraction form
    34.97/52.16 = 32.69/x
  3. Step 3: Cross multiply
    34.97x = 52.16 × 32.69
  4. Step 4: Simplify right side
    34.97x = 1,704.69
  5. Step 5: Solve for x
    x = 1,704.69/34.97
  6. Step 6: Final answer
    x = 48.75

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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.