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Finding the Fourth Proportional to 114.89, 171.24 and 109.81

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Solution

The fourth proportional to 114.89, 171.24 and 109.81 is: 163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.89 : 171.24 = 109.81 : x
  2. Step 2: Convert to fraction form
    114.89/171.24 = 109.81/x
  3. Step 3: Cross multiply
    114.89x = 171.24 × 109.81
  4. Step 4: Simplify right side
    114.89x = 18,803.01
  5. Step 5: Solve for x
    x = 18,803.01/114.89
  6. Step 6: Final answer
    x = 163.66

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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.