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Finding the Fourth Proportional to 137.30, 189.42 and 109.74

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Solution

The fourth proportional to 137.30, 189.42 and 109.74 is: 151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.30 : 189.42 = 109.74 : x
  2. Step 2: Convert to fraction form
    137.30/189.42 = 109.74/x
  3. Step 3: Cross multiply
    137.30x = 189.42 × 109.74
  4. Step 4: Simplify right side
    137.30x = 20,786.95
  5. Step 5: Solve for x
    x = 20,786.95/137.30
  6. Step 6: Final answer
    x = 151.40

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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.