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Finding the Fourth Proportional to 137.14, 189.40 and 106.42

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Solution

The fourth proportional to 137.14, 189.40 and 106.42 is: 146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.14 : 189.40 = 106.42 : x
  2. Step 2: Convert to fraction form
    137.14/189.40 = 106.42/x
  3. Step 3: Cross multiply
    137.14x = 189.40 × 106.42
  4. Step 4: Simplify right side
    137.14x = 20,155.95
  5. Step 5: Solve for x
    x = 20,155.95/137.14
  6. Step 6: Final answer
    x = 146.98

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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.