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Finding the Fourth Proportional to 137.51, 189.81 and 109.49

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Solution

The fourth proportional to 137.51, 189.81 and 109.49 is: 151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.51 : 189.81 = 109.49 : x
  2. Step 2: Convert to fraction form
    137.51/189.81 = 109.49/x
  3. Step 3: Cross multiply
    137.51x = 189.81 × 109.49
  4. Step 4: Simplify right side
    137.51x = 20,782.30
  5. Step 5: Solve for x
    x = 20,782.30/137.51
  6. Step 6: Final answer
    x = 151.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.