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Finding the Fourth Proportional to 137.65, 189.83 and 106.47

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Solution

The fourth proportional to 137.65, 189.83 and 106.47 is: 146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.65 : 189.83 = 106.47 : x
  2. Step 2: Convert to fraction form
    137.65/189.83 = 106.47/x
  3. Step 3: Cross multiply
    137.65x = 189.83 × 106.47
  4. Step 4: Simplify right side
    137.65x = 20,210.75
  5. Step 5: Solve for x
    x = 20,210.75/137.65
  6. Step 6: Final answer
    x = 146.83

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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.