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Finding the Fourth Proportional to 137.41, 189.61 and 79.20

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Solution

The fourth proportional to 137.41, 189.61 and 79.20 is: 109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.41 : 189.61 = 79.20 : x
  2. Step 2: Convert to fraction form
    137.41/189.61 = 79.20/x
  3. Step 3: Cross multiply
    137.41x = 189.61 × 79.20
  4. Step 4: Simplify right side
    137.41x = 15,017.11
  5. Step 5: Solve for x
    x = 15,017.11/137.41
  6. Step 6: Final answer
    x = 109.29

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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.