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Finding the Fourth Proportional to 112.31, 154.90 and 70.82

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Solution

The fourth proportional to 112.31, 154.90 and 70.82 is: 97.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.31 : 154.90 = 70.82 : x
  2. Step 2: Convert to fraction form
    112.31/154.90 = 70.82/x
  3. Step 3: Cross multiply
    112.31x = 154.90 × 70.82
  4. Step 4: Simplify right side
    112.31x = 10,970.02
  5. Step 5: Solve for x
    x = 10,970.02/112.31
  6. Step 6: Final answer
    x = 97.68

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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.