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Finding the Fourth Proportional to 137.54, 189.57 and 106.34

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Solution

The fourth proportional to 137.54, 189.57 and 106.34 is: 146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.54 : 189.57 = 106.34 : x
  2. Step 2: Convert to fraction form
    137.54/189.57 = 106.34/x
  3. Step 3: Cross multiply
    137.54x = 189.57 × 106.34
  4. Step 4: Simplify right side
    137.54x = 20,158.87
  5. Step 5: Solve for x
    x = 20,158.87/137.54
  6. Step 6: Final answer
    x = 146.57

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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.