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Finding the Fourth Proportional to 109.43, 151.04 and 70.11

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Solution

The fourth proportional to 109.43, 151.04 and 70.11 is: 96.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.43 : 151.04 = 70.11 : x
  2. Step 2: Convert to fraction form
    109.43/151.04 = 70.11/x
  3. Step 3: Cross multiply
    109.43x = 151.04 × 70.11
  4. Step 4: Simplify right side
    109.43x = 10,589.06
  5. Step 5: Solve for x
    x = 10,589.06/109.43
  6. Step 6: Final answer
    x = 96.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.