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Finding the Fourth Proportional to 67.84, 102.19 and 60.04

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Solution

The fourth proportional to 67.84, 102.19 and 60.04 is: 90.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.84 : 102.19 = 60.04 : x
  2. Step 2: Convert to fraction form
    67.84/102.19 = 60.04/x
  3. Step 3: Cross multiply
    67.84x = 102.19 × 60.04
  4. Step 4: Simplify right side
    67.84x = 6,135.49
  5. Step 5: Solve for x
    x = 6,135.49/67.84
  6. Step 6: Final answer
    x = 90.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.