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Finding the Fourth Proportional to 112.21, 154.82 and 70.23

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Solution

The fourth proportional to 112.21, 154.82 and 70.23 is: 96.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.21 : 154.82 = 70.23 : x
  2. Step 2: Convert to fraction form
    112.21/154.82 = 70.23/x
  3. Step 3: Cross multiply
    112.21x = 154.82 × 70.23
  4. Step 4: Simplify right side
    112.21x = 10,873.57
  5. Step 5: Solve for x
    x = 10,873.57/112.21
  6. Step 6: Final answer
    x = 96.90

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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.