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Finding the Fourth Proportional to 137.31, 205.16 and 134.76

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Solution

The fourth proportional to 137.31, 205.16 and 134.76 is: 201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.31 : 205.16 = 134.76 : x
  2. Step 2: Convert to fraction form
    137.31/205.16 = 134.76/x
  3. Step 3: Cross multiply
    137.31x = 205.16 × 134.76
  4. Step 4: Simplify right side
    137.31x = 27,646.69
  5. Step 5: Solve for x
    x = 27,646.69/137.31
  6. Step 6: Final answer
    x = 201.35

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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.