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Finding the Fourth Proportional to 68.02, 100.90 and 67.84

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Solution

The fourth proportional to 68.02, 100.90 and 67.84 is: 100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.02 : 100.90 = 67.84 : x
  2. Step 2: Convert to fraction form
    68.02/100.90 = 67.84/x
  3. Step 3: Cross multiply
    68.02x = 100.90 × 67.84
  4. Step 4: Simplify right side
    68.02x = 6,845.06
  5. Step 5: Solve for x
    x = 6,845.06/68.02
  6. Step 6: Final answer
    x = 100.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.