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Finding the Fourth Proportional to 114.08, 170.36 and 92.44

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Solution

The fourth proportional to 114.08, 170.36 and 92.44 is: 138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.08 : 170.36 = 92.44 : x
  2. Step 2: Convert to fraction form
    114.08/170.36 = 92.44/x
  3. Step 3: Cross multiply
    114.08x = 170.36 × 92.44
  4. Step 4: Simplify right side
    114.08x = 15,748.08
  5. Step 5: Solve for x
    x = 15,748.08/114.08
  6. Step 6: Final answer
    x = 138.04

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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.