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Finding the Fourth Proportional to 114.32, 170.34 and 109.68

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Solution

The fourth proportional to 114.32, 170.34 and 109.68 is: 163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.32 : 170.34 = 109.68 : x
  2. Step 2: Convert to fraction form
    114.32/170.34 = 109.68/x
  3. Step 3: Cross multiply
    114.32x = 170.34 × 109.68
  4. Step 4: Simplify right side
    114.32x = 18,682.89
  5. Step 5: Solve for x
    x = 18,682.89/114.32
  6. Step 6: Final answer
    x = 163.43

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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.