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Finding the Fourth Proportional to 114.08, 169.66 and 110.48

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Solution

The fourth proportional to 114.08, 169.66 and 110.48 is: 164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.08 : 169.66 = 110.48 : x
  2. Step 2: Convert to fraction form
    114.08/169.66 = 110.48/x
  3. Step 3: Cross multiply
    114.08x = 169.66 × 110.48
  4. Step 4: Simplify right side
    114.08x = 18,744.04
  5. Step 5: Solve for x
    x = 18,744.04/114.08
  6. Step 6: Final answer
    x = 164.31

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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.