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Finding the Fourth Proportional to 119.52, 163.86 and 117.36

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Solution

The fourth proportional to 119.52, 163.86 and 117.36 is: 160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.52 : 163.86 = 117.36 : x
  2. Step 2: Convert to fraction form
    119.52/163.86 = 117.36/x
  3. Step 3: Cross multiply
    119.52x = 163.86 × 117.36
  4. Step 4: Simplify right side
    119.52x = 19,230.61
  5. Step 5: Solve for x
    x = 19,230.61/119.52
  6. Step 6: Final answer
    x = 160.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.