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Finding the Fourth Proportional to 114.24, 170.06 and 109.72

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Solution

The fourth proportional to 114.24, 170.06 and 109.72 is: 163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.24 : 170.06 = 109.72 : x
  2. Step 2: Convert to fraction form
    114.24/170.06 = 109.72/x
  3. Step 3: Cross multiply
    114.24x = 170.06 × 109.72
  4. Step 4: Simplify right side
    114.24x = 18,658.98
  5. Step 5: Solve for x
    x = 18,658.98/114.24
  6. Step 6: Final answer
    x = 163.33

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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.