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Finding the Fourth Proportional to 137.06, 189.06 and 112.20

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Solution

The fourth proportional to 137.06, 189.06 and 112.20 is: 154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.06 : 189.06 = 112.20 : x
  2. Step 2: Convert to fraction form
    137.06/189.06 = 112.20/x
  3. Step 3: Cross multiply
    137.06x = 189.06 × 112.20
  4. Step 4: Simplify right side
    137.06x = 21,212.53
  5. Step 5: Solve for x
    x = 21,212.53/137.06
  6. Step 6: Final answer
    x = 154.77

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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.