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Finding the Fourth Proportional to 114.38, 170.52 and 107.49

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Solution

The fourth proportional to 114.38, 170.52 and 107.49 is: 160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.38 : 170.52 = 107.49 : x
  2. Step 2: Convert to fraction form
    114.38/170.52 = 107.49/x
  3. Step 3: Cross multiply
    114.38x = 170.52 × 107.49
  4. Step 4: Simplify right side
    114.38x = 18,329.19
  5. Step 5: Solve for x
    x = 18,329.19/114.38
  6. Step 6: Final answer
    x = 160.25

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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.