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Finding the Fourth Proportional to 68.97, 103.45 and 34.71

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Solution

The fourth proportional to 68.97, 103.45 and 34.71 is: 52.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.97 : 103.45 = 34.71 : x
  2. Step 2: Convert to fraction form
    68.97/103.45 = 34.71/x
  3. Step 3: Cross multiply
    68.97x = 103.45 × 34.71
  4. Step 4: Simplify right side
    68.97x = 3,590.75
  5. Step 5: Solve for x
    x = 3,590.75/68.97
  6. Step 6: Final answer
    x = 52.06

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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.