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Finding the Fourth Proportional to 114.09, 170.31 and 94.65

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Solution

The fourth proportional to 114.09, 170.31 and 94.65 is: 141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.09 : 170.31 = 94.65 : x
  2. Step 2: Convert to fraction form
    114.09/170.31 = 94.65/x
  3. Step 3: Cross multiply
    114.09x = 170.31 × 94.65
  4. Step 4: Simplify right side
    114.09x = 16,119.84
  5. Step 5: Solve for x
    x = 16,119.84/114.09
  6. Step 6: Final answer
    x = 141.29

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Why These Related Problems?

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