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Finding the Fourth Proportional to 119.75, 164.60 and 97.57

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Solution

The fourth proportional to 119.75, 164.60 and 97.57 is: 134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.75 : 164.60 = 97.57 : x
  2. Step 2: Convert to fraction form
    119.75/164.60 = 97.57/x
  3. Step 3: Cross multiply
    119.75x = 164.60 × 97.57
  4. Step 4: Simplify right side
    119.75x = 16,060.11
  5. Step 5: Solve for x
    x = 16,060.11/119.75
  6. Step 6: Final answer
    x = 134.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.