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Finding the Fourth Proportional to 114.14, 170.10 and 110.67

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Solution

The fourth proportional to 114.14, 170.10 and 110.67 is: 164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.14 : 170.10 = 110.67 : x
  2. Step 2: Convert to fraction form
    114.14/170.10 = 110.67/x
  3. Step 3: Cross multiply
    114.14x = 170.10 × 110.67
  4. Step 4: Simplify right side
    114.14x = 18,824.97
  5. Step 5: Solve for x
    x = 18,824.97/114.14
  6. Step 6: Final answer
    x = 164.93

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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.