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Finding the Fourth Proportional to 137.03, 189 and 84.53

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Solution

The fourth proportional to 137.03, 189 and 84.53 is: 116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.03 : 189 = 84.53 : x
  2. Step 2: Convert to fraction form
    137.03/189 = 84.53/x
  3. Step 3: Cross multiply
    137.03x = 189 × 84.53
  4. Step 4: Simplify right side
    137.03x = 15,975.58
  5. Step 5: Solve for x
    x = 15,975.58/137.03
  6. Step 6: Final answer
    x = 116.59

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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.