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Finding the Fourth Proportional to 137.31, 189.37 and 114.02

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Solution

The fourth proportional to 137.31, 189.37 and 114.02 is: 157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.31 : 189.37 = 114.02 : x
  2. Step 2: Convert to fraction form
    137.31/189.37 = 114.02/x
  3. Step 3: Cross multiply
    137.31x = 189.37 × 114.02
  4. Step 4: Simplify right side
    137.31x = 21,591.97
  5. Step 5: Solve for x
    x = 21,591.97/137.31
  6. Step 6: Final answer
    x = 157.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.