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Finding the Fourth Proportional to 137.21, 204.84 and 114.08

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Solution

The fourth proportional to 137.21, 204.84 and 114.08 is: 170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.21 : 204.84 = 114.08 : x
  2. Step 2: Convert to fraction form
    137.21/204.84 = 114.08/x
  3. Step 3: Cross multiply
    137.21x = 204.84 × 114.08
  4. Step 4: Simplify right side
    137.21x = 23,367.12
  5. Step 5: Solve for x
    x = 23,367.12/137.21
  6. Step 6: Final answer
    x = 170.31

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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.