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Finding the Fourth Proportional to 137.57, 189.77 and 112.95

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Solution

The fourth proportional to 137.57, 189.77 and 112.95 is: 155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.57 : 189.77 = 112.95 : x
  2. Step 2: Convert to fraction form
    137.57/189.77 = 112.95/x
  3. Step 3: Cross multiply
    137.57x = 189.77 × 112.95
  4. Step 4: Simplify right side
    137.57x = 21,433.96
  5. Step 5: Solve for x
    x = 21,433.96/137.57
  6. Step 6: Final answer
    x = 155.81

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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.