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Finding the Fourth Proportional to 70.46, 105.05 and 68.69

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Solution

The fourth proportional to 70.46, 105.05 and 68.69 is: 102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.46 : 105.05 = 68.69 : x
  2. Step 2: Convert to fraction form
    70.46/105.05 = 68.69/x
  3. Step 3: Cross multiply
    70.46x = 105.05 × 68.69
  4. Step 4: Simplify right side
    70.46x = 7,215.53
  5. Step 5: Solve for x
    x = 7,215.53/70.46
  6. Step 6: Final answer
    x = 102.40

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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.