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Finding the Fourth Proportional to 137.04, 189.06 and 84.54

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Solution

The fourth proportional to 137.04, 189.06 and 84.54 is: 116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.04 : 189.06 = 84.54 : x
  2. Step 2: Convert to fraction form
    137.04/189.06 = 84.54/x
  3. Step 3: Cross multiply
    137.04x = 189.06 × 84.54
  4. Step 4: Simplify right side
    137.04x = 15,983.13
  5. Step 5: Solve for x
    x = 15,983.13/137.04
  6. Step 6: Final answer
    x = 116.63

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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.