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Finding the Fourth Proportional to 114.56, 170.62 and 108.32

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Solution

The fourth proportional to 114.56, 170.62 and 108.32 is: 161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.56 : 170.62 = 108.32 : x
  2. Step 2: Convert to fraction form
    114.56/170.62 = 108.32/x
  3. Step 3: Cross multiply
    114.56x = 170.62 × 108.32
  4. Step 4: Simplify right side
    114.56x = 18,481.56
  5. Step 5: Solve for x
    x = 18,481.56/114.56
  6. Step 6: Final answer
    x = 161.33

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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.