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Finding the Fourth Proportional to 137.58, 189.75 and 109.92

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Solution

The fourth proportional to 137.58, 189.75 and 109.92 is: 151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.58 : 189.75 = 109.92 : x
  2. Step 2: Convert to fraction form
    137.58/189.75 = 109.92/x
  3. Step 3: Cross multiply
    137.58x = 189.75 × 109.92
  4. Step 4: Simplify right side
    137.58x = 20,857.32
  5. Step 5: Solve for x
    x = 20,857.32/137.58
  6. Step 6: Final answer
    x = 151.60

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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.