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Finding the Fourth Proportional to 109.81, 163.53 and 105.13

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Solution

The fourth proportional to 109.81, 163.53 and 105.13 is: 156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.81 : 163.53 = 105.13 : x
  2. Step 2: Convert to fraction form
    109.81/163.53 = 105.13/x
  3. Step 3: Cross multiply
    109.81x = 163.53 × 105.13
  4. Step 4: Simplify right side
    109.81x = 17,191.91
  5. Step 5: Solve for x
    x = 17,191.91/109.81
  6. Step 6: Final answer
    x = 156.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.