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Finding the Fourth Proportional to 70.13, 104.51 and 68.78

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Solution

The fourth proportional to 70.13, 104.51 and 68.78 is: 102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.13 : 104.51 = 68.78 : x
  2. Step 2: Convert to fraction form
    70.13/104.51 = 68.78/x
  3. Step 3: Cross multiply
    70.13x = 104.51 × 68.78
  4. Step 4: Simplify right side
    70.13x = 7,187.33
  5. Step 5: Solve for x
    x = 7,187.33/70.13
  6. Step 6: Final answer
    x = 102.49

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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.