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Finding the Fourth Proportional to 137.46, 189.54 and 109.83

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Solution

The fourth proportional to 137.46, 189.54 and 109.83 is: 151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.46 : 189.54 = 109.83 : x
  2. Step 2: Convert to fraction form
    137.46/189.54 = 109.83/x
  3. Step 3: Cross multiply
    137.46x = 189.54 × 109.83
  4. Step 4: Simplify right side
    137.46x = 20,817.18
  5. Step 5: Solve for x
    x = 20,817.18/137.46
  6. Step 6: Final answer
    x = 151.44

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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.