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Finding the Fourth Proportional to 137.26, 189.55 and 117.47

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Solution

The fourth proportional to 137.26, 189.55 and 117.47 is: 162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.26 : 189.55 = 117.47 : x
  2. Step 2: Convert to fraction form
    137.26/189.55 = 117.47/x
  3. Step 3: Cross multiply
    137.26x = 189.55 × 117.47
  4. Step 4: Simplify right side
    137.26x = 22,265.85
  5. Step 5: Solve for x
    x = 22,265.85/137.26
  6. Step 6: Final answer
    x = 162.22

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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.