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Finding the Fourth Proportional to 70.65, 105.88 and 32.12

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Solution

The fourth proportional to 70.65, 105.88 and 32.12 is: 48.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.65 : 105.88 = 32.12 : x
  2. Step 2: Convert to fraction form
    70.65/105.88 = 32.12/x
  3. Step 3: Cross multiply
    70.65x = 105.88 × 32.12
  4. Step 4: Simplify right side
    70.65x = 3,401.05
  5. Step 5: Solve for x
    x = 3,401.05/70.65
  6. Step 6: Final answer
    x = 48.14

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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.