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Finding the Fourth Proportional to 117.92, 162.83 and 74.27

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Solution

The fourth proportional to 117.92, 162.83 and 74.27 is: 102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.92 : 162.83 = 74.27 : x
  2. Step 2: Convert to fraction form
    117.92/162.83 = 74.27/x
  3. Step 3: Cross multiply
    117.92x = 162.83 × 74.27
  4. Step 4: Simplify right side
    117.92x = 12,093.38
  5. Step 5: Solve for x
    x = 12,093.38/117.92
  6. Step 6: Final answer
    x = 102.56

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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.