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Finding the Fourth Proportional to 114.12, 170.13 and 113.64

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Solution

The fourth proportional to 114.12, 170.13 and 113.64 is: 169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.12 : 170.13 = 113.64 : x
  2. Step 2: Convert to fraction form
    114.12/170.13 = 113.64/x
  3. Step 3: Cross multiply
    114.12x = 170.13 × 113.64
  4. Step 4: Simplify right side
    114.12x = 19,333.57
  5. Step 5: Solve for x
    x = 19,333.57/114.12
  6. Step 6: Final answer
    x = 169.41

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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.