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Finding the Fourth Proportional to 70.68, 106.14 and 68.22

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Solution

The fourth proportional to 70.68, 106.14 and 68.22 is: 102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.68 : 106.14 = 68.22 : x
  2. Step 2: Convert to fraction form
    70.68/106.14 = 68.22/x
  3. Step 3: Cross multiply
    70.68x = 106.14 × 68.22
  4. Step 4: Simplify right side
    70.68x = 7,240.87
  5. Step 5: Solve for x
    x = 7,240.87/70.68
  6. Step 6: Final answer
    x = 102.45

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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.