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Finding the Fourth Proportional to 109.36, 164 and 66.48

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Solution

The fourth proportional to 109.36, 164 and 66.48 is: 99.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.36 : 164 = 66.48 : x
  2. Step 2: Convert to fraction form
    109.36/164 = 66.48/x
  3. Step 3: Cross multiply
    109.36x = 164 × 66.48
  4. Step 4: Simplify right side
    109.36x = 10,902.72
  5. Step 5: Solve for x
    x = 10,902.72/109.36
  6. Step 6: Final answer
    x = 99.70

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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.