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Finding the Fourth Proportional to 114.22, 170.48 and 111.46

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Solution

The fourth proportional to 114.22, 170.48 and 111.46 is: 166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.22 : 170.48 = 111.46 : x
  2. Step 2: Convert to fraction form
    114.22/170.48 = 111.46/x
  3. Step 3: Cross multiply
    114.22x = 170.48 × 111.46
  4. Step 4: Simplify right side
    114.22x = 19,001.70
  5. Step 5: Solve for x
    x = 19,001.70/114.22
  6. Step 6: Final answer
    x = 166.36

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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.