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Finding the Fourth Proportional to 70.18, 105.47 and 67.48

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Solution

The fourth proportional to 70.18, 105.47 and 67.48 is: 101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.18 : 105.47 = 67.48 : x
  2. Step 2: Convert to fraction form
    70.18/105.47 = 67.48/x
  3. Step 3: Cross multiply
    70.18x = 105.47 × 67.48
  4. Step 4: Simplify right side
    70.18x = 7,116.25
  5. Step 5: Solve for x
    x = 7,116.25/70.18
  6. Step 6: Final answer
    x = 101.41

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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.