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Finding the Fourth Proportional to 89.54, 133.68 and 84.07

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Solution

The fourth proportional to 89.54, 133.68 and 84.07 is: 125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.54 : 133.68 = 84.07 : x
  2. Step 2: Convert to fraction form
    89.54/133.68 = 84.07/x
  3. Step 3: Cross multiply
    89.54x = 133.68 × 84.07
  4. Step 4: Simplify right side
    89.54x = 11,238.48
  5. Step 5: Solve for x
    x = 11,238.48/89.54
  6. Step 6: Final answer
    x = 125.51

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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.