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Finding the Fourth Proportional to 89.05, 133.64 and 66.29

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Solution

The fourth proportional to 89.05, 133.64 and 66.29 is: 99.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.05 : 133.64 = 66.29 : x
  2. Step 2: Convert to fraction form
    89.05/133.64 = 66.29/x
  3. Step 3: Cross multiply
    89.05x = 133.64 × 66.29
  4. Step 4: Simplify right side
    89.05x = 8,858.66
  5. Step 5: Solve for x
    x = 8,858.66/89.05
  6. Step 6: Final answer
    x = 99.49

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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.