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Finding the Fourth Proportional to 118.02, 162.81 and 85.22

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Solution

The fourth proportional to 118.02, 162.81 and 85.22 is: 117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.02 : 162.81 = 85.22 : x
  2. Step 2: Convert to fraction form
    118.02/162.81 = 85.22/x
  3. Step 3: Cross multiply
    118.02x = 162.81 × 85.22
  4. Step 4: Simplify right side
    118.02x = 13,874.46
  5. Step 5: Solve for x
    x = 13,874.46/118.02
  6. Step 6: Final answer
    x = 117.56

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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.