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Finding the Fourth Proportional to 70.31, 105.42 and 36.05

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Solution

The fourth proportional to 70.31, 105.42 and 36.05 is: 54.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.31 : 105.42 = 36.05 : x
  2. Step 2: Convert to fraction form
    70.31/105.42 = 36.05/x
  3. Step 3: Cross multiply
    70.31x = 105.42 × 36.05
  4. Step 4: Simplify right side
    70.31x = 3,800.65
  5. Step 5: Solve for x
    x = 3,800.65/70.31
  6. Step 6: Final answer
    x = 54.06

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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.