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Finding the Fourth Proportional to 119.01, 164.24 and 66.56

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Solution

The fourth proportional to 119.01, 164.24 and 66.56 is: 91.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.01 : 164.24 = 66.56 : x
  2. Step 2: Convert to fraction form
    119.01/164.24 = 66.56/x
  3. Step 3: Cross multiply
    119.01x = 164.24 × 66.56
  4. Step 4: Simplify right side
    119.01x = 10,931.81
  5. Step 5: Solve for x
    x = 10,931.81/119.01
  6. Step 6: Final answer
    x = 91.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.