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Finding the Fourth Proportional to 68.22, 101.52 and 67.80

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Solution

The fourth proportional to 68.22, 101.52 and 67.80 is: 100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.22 : 101.52 = 67.80 : x
  2. Step 2: Convert to fraction form
    68.22/101.52 = 67.80/x
  3. Step 3: Cross multiply
    68.22x = 101.52 × 67.80
  4. Step 4: Simplify right side
    68.22x = 6,883.06
  5. Step 5: Solve for x
    x = 6,883.06/68.22
  6. Step 6: Final answer
    x = 100.89

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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.