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Finding the Fourth Proportional to 68.43, 102.14 and 60.33

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Solution

The fourth proportional to 68.43, 102.14 and 60.33 is: 90.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.43 : 102.14 = 60.33 : x
  2. Step 2: Convert to fraction form
    68.43/102.14 = 60.33/x
  3. Step 3: Cross multiply
    68.43x = 102.14 × 60.33
  4. Step 4: Simplify right side
    68.43x = 6,161.80
  5. Step 5: Solve for x
    x = 6,161.80/68.43
  6. Step 6: Final answer
    x = 90.05

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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.