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Finding the Fourth Proportional to 109.38, 164.10 and 60.66

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Solution

The fourth proportional to 109.38, 164.10 and 60.66 is: 91.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.38 : 164.10 = 60.66 : x
  2. Step 2: Convert to fraction form
    109.38/164.10 = 60.66/x
  3. Step 3: Cross multiply
    109.38x = 164.10 × 60.66
  4. Step 4: Simplify right side
    109.38x = 9,954.31
  5. Step 5: Solve for x
    x = 9,954.31/109.38
  6. Step 6: Final answer
    x = 91.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.