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Finding the Fourth Proportional to 68.30, 101.72 and 67.58

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Solution

The fourth proportional to 68.30, 101.72 and 67.58 is: 100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.30 : 101.72 = 67.58 : x
  2. Step 2: Convert to fraction form
    68.30/101.72 = 67.58/x
  3. Step 3: Cross multiply
    68.30x = 101.72 × 67.58
  4. Step 4: Simplify right side
    68.30x = 6,874.24
  5. Step 5: Solve for x
    x = 6,874.24/68.30
  6. Step 6: Final answer
    x = 100.65

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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.