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Finding the Fourth Proportional to 109.91, 151.72 and 70.61

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Solution

The fourth proportional to 109.91, 151.72 and 70.61 is: 97.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.91 : 151.72 = 70.61 : x
  2. Step 2: Convert to fraction form
    109.91/151.72 = 70.61/x
  3. Step 3: Cross multiply
    109.91x = 151.72 × 70.61
  4. Step 4: Simplify right side
    109.91x = 10,712.95
  5. Step 5: Solve for x
    x = 10,712.95/109.91
  6. Step 6: Final answer
    x = 97.47

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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.