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Finding the Fourth Proportional to 70.68, 105.95 and 32.13

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Solution

The fourth proportional to 70.68, 105.95 and 32.13 is: 48.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.68 : 105.95 = 32.13 : x
  2. Step 2: Convert to fraction form
    70.68/105.95 = 32.13/x
  3. Step 3: Cross multiply
    70.68x = 105.95 × 32.13
  4. Step 4: Simplify right side
    70.68x = 3,404.01
  5. Step 5: Solve for x
    x = 3,404.01/70.68
  6. Step 6: Final answer
    x = 48.16

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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.