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Finding the Fourth Proportional to 89.17, 133.82 and 83.05

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Solution

The fourth proportional to 89.17, 133.82 and 83.05 is: 124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.17 : 133.82 = 83.05 : x
  2. Step 2: Convert to fraction form
    89.17/133.82 = 83.05/x
  3. Step 3: Cross multiply
    89.17x = 133.82 × 83.05
  4. Step 4: Simplify right side
    89.17x = 11,113.34
  5. Step 5: Solve for x
    x = 11,113.34/89.17
  6. Step 6: Final answer
    x = 124.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.