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Finding the Fourth Proportional to 114.36, 170.32 and 107.38

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Solution

The fourth proportional to 114.36, 170.32 and 107.38 is: 159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.36 : 170.32 = 107.38 : x
  2. Step 2: Convert to fraction form
    114.36/170.32 = 107.38/x
  3. Step 3: Cross multiply
    114.36x = 170.32 × 107.38
  4. Step 4: Simplify right side
    114.36x = 18,287.57
  5. Step 5: Solve for x
    x = 18,287.57/114.36
  6. Step 6: Final answer
    x = 159.91

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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.