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Finding the Fourth Proportional to 110.49, 152.45 and 66.82

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Solution

The fourth proportional to 110.49, 152.45 and 66.82 is: 92.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.49 : 152.45 = 66.82 : x
  2. Step 2: Convert to fraction form
    110.49/152.45 = 66.82/x
  3. Step 3: Cross multiply
    110.49x = 152.45 × 66.82
  4. Step 4: Simplify right side
    110.49x = 10,186.37
  5. Step 5: Solve for x
    x = 10,186.37/110.49
  6. Step 6: Final answer
    x = 92.20

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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.