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Finding the Fourth Proportional to 68.78, 102.72 and 59.18

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Solution

The fourth proportional to 68.78, 102.72 and 59.18 is: 88.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.78 : 102.72 = 59.18 : x
  2. Step 2: Convert to fraction form
    68.78/102.72 = 59.18/x
  3. Step 3: Cross multiply
    68.78x = 102.72 × 59.18
  4. Step 4: Simplify right side
    68.78x = 6,078.68
  5. Step 5: Solve for x
    x = 6,078.68/68.78
  6. Step 6: Final answer
    x = 88.38

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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.