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Finding the Fourth Proportional to 137.04, 189.04 and 84.56

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Solution

The fourth proportional to 137.04, 189.04 and 84.56 is: 116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.04 : 189.04 = 84.56 : x
  2. Step 2: Convert to fraction form
    137.04/189.04 = 84.56/x
  3. Step 3: Cross multiply
    137.04x = 189.04 × 84.56
  4. Step 4: Simplify right side
    137.04x = 15,985.22
  5. Step 5: Solve for x
    x = 15,985.22/137.04
  6. Step 6: Final answer
    x = 116.65

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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.