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Finding the Fourth Proportional to 68.82, 102.73 and 59.18

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Solution

The fourth proportional to 68.82, 102.73 and 59.18 is: 88.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.82 : 102.73 = 59.18 : x
  2. Step 2: Convert to fraction form
    68.82/102.73 = 59.18/x
  3. Step 3: Cross multiply
    68.82x = 102.73 × 59.18
  4. Step 4: Simplify right side
    68.82x = 6,079.56
  5. Step 5: Solve for x
    x = 6,079.56/68.82
  6. Step 6: Final answer
    x = 88.34

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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.