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Finding the Fourth Proportional to 137.58, 189.76 and 109.90

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Solution

The fourth proportional to 137.58, 189.76 and 109.90 is: 151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.58 : 189.76 = 109.90 : x
  2. Step 2: Convert to fraction form
    137.58/189.76 = 109.90/x
  3. Step 3: Cross multiply
    137.58x = 189.76 × 109.90
  4. Step 4: Simplify right side
    137.58x = 20,854.62
  5. Step 5: Solve for x
    x = 20,854.62/137.58
  6. Step 6: Final answer
    x = 151.58

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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.