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Finding the Fourth Proportional to 137.24, 189.32 and 106.10

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Solution

The fourth proportional to 137.24, 189.32 and 106.10 is: 146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.24 : 189.32 = 106.10 : x
  2. Step 2: Convert to fraction form
    137.24/189.32 = 106.10/x
  3. Step 3: Cross multiply
    137.24x = 189.32 × 106.10
  4. Step 4: Simplify right side
    137.24x = 20,086.85
  5. Step 5: Solve for x
    x = 20,086.85/137.24
  6. Step 6: Final answer
    x = 146.36

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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.