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Finding the Fourth Proportional to 137.65, 189.82 and 88.44

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Solution

The fourth proportional to 137.65, 189.82 and 88.44 is: 121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.65 : 189.82 = 88.44 : x
  2. Step 2: Convert to fraction form
    137.65/189.82 = 88.44/x
  3. Step 3: Cross multiply
    137.65x = 189.82 × 88.44
  4. Step 4: Simplify right side
    137.65x = 16,787.46
  5. Step 5: Solve for x
    x = 16,787.46/137.65
  6. Step 6: Final answer
    x = 121.96

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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.