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Finding the Fourth Proportional to 70.48, 106.30 and 67.12

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Solution

The fourth proportional to 70.48, 106.30 and 67.12 is: 101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.48 : 106.30 = 67.12 : x
  2. Step 2: Convert to fraction form
    70.48/106.30 = 67.12/x
  3. Step 3: Cross multiply
    70.48x = 106.30 × 67.12
  4. Step 4: Simplify right side
    70.48x = 7,134.86
  5. Step 5: Solve for x
    x = 7,134.86/70.48
  6. Step 6: Final answer
    x = 101.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.