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Finding the Fourth Proportional to 137.13, 189.16 and 84.69

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Solution

The fourth proportional to 137.13, 189.16 and 84.69 is: 116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.13 : 189.16 = 84.69 : x
  2. Step 2: Convert to fraction form
    137.13/189.16 = 84.69/x
  3. Step 3: Cross multiply
    137.13x = 189.16 × 84.69
  4. Step 4: Simplify right side
    137.13x = 16,020.22
  5. Step 5: Solve for x
    x = 16,020.22/137.13
  6. Step 6: Final answer
    x = 116.82

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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.