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Finding the Fourth Proportional to 114.22, 170.21 and 110.55

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Solution

The fourth proportional to 114.22, 170.21 and 110.55 is: 164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.22 : 170.21 = 110.55 : x
  2. Step 2: Convert to fraction form
    114.22/170.21 = 110.55/x
  3. Step 3: Cross multiply
    114.22x = 170.21 × 110.55
  4. Step 4: Simplify right side
    114.22x = 18,816.72
  5. Step 5: Solve for x
    x = 18,816.72/114.22
  6. Step 6: Final answer
    x = 164.74

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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.