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Finding the Fourth Proportional to 119.02, 164.23 and 66.57

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Solution

The fourth proportional to 119.02, 164.23 and 66.57 is: 91.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.02 : 164.23 = 66.57 : x
  2. Step 2: Convert to fraction form
    119.02/164.23 = 66.57/x
  3. Step 3: Cross multiply
    119.02x = 164.23 × 66.57
  4. Step 4: Simplify right side
    119.02x = 10,932.01
  5. Step 5: Solve for x
    x = 10,932.01/119.02
  6. Step 6: Final answer
    x = 91.85

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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.