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Finding the Fourth Proportional to 114.06, 170.14 and 107.22

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Solution

The fourth proportional to 114.06, 170.14 and 107.22 is: 159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.06 : 170.14 = 107.22 : x
  2. Step 2: Convert to fraction form
    114.06/170.14 = 107.22/x
  3. Step 3: Cross multiply
    114.06x = 170.14 × 107.22
  4. Step 4: Simplify right side
    114.06x = 18,242.41
  5. Step 5: Solve for x
    x = 18,242.41/114.06
  6. Step 6: Final answer
    x = 159.94

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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.