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Finding the Fourth Proportional to 70.59, 105.89 and 67.76

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Solution

The fourth proportional to 70.59, 105.89 and 67.76 is: 101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.59 : 105.89 = 67.76 : x
  2. Step 2: Convert to fraction form
    70.59/105.89 = 67.76/x
  3. Step 3: Cross multiply
    70.59x = 105.89 × 67.76
  4. Step 4: Simplify right side
    70.59x = 7,174.24
  5. Step 5: Solve for x
    x = 7,174.24/70.59
  6. Step 6: Final answer
    x = 101.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.