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Finding the Fourth Proportional to 103.31, 154.06 and 88.96

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Solution

The fourth proportional to 103.31, 154.06 and 88.96 is: 132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.31 : 154.06 = 88.96 : x
  2. Step 2: Convert to fraction form
    103.31/154.06 = 88.96/x
  3. Step 3: Cross multiply
    103.31x = 154.06 × 88.96
  4. Step 4: Simplify right side
    103.31x = 13,705.14
  5. Step 5: Solve for x
    x = 13,705.14/103.31
  6. Step 6: Final answer
    x = 132.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.