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Finding the Fourth Proportional to 137.15, 189.45 and 109.71

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Solution

The fourth proportional to 137.15, 189.45 and 109.71 is: 151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.15 : 189.45 = 109.71 : x
  2. Step 2: Convert to fraction form
    137.15/189.45 = 109.71/x
  3. Step 3: Cross multiply
    137.15x = 189.45 × 109.71
  4. Step 4: Simplify right side
    137.15x = 20,784.01
  5. Step 5: Solve for x
    x = 20,784.01/137.15
  6. Step 6: Final answer
    x = 151.55

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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.