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Finding the Fourth Proportional to 118.05, 162.82 and 74.35

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Solution

The fourth proportional to 118.05, 162.82 and 74.35 is: 102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.05 : 162.82 = 74.35 : x
  2. Step 2: Convert to fraction form
    118.05/162.82 = 74.35/x
  3. Step 3: Cross multiply
    118.05x = 162.82 × 74.35
  4. Step 4: Simplify right side
    118.05x = 12,105.07
  5. Step 5: Solve for x
    x = 12,105.07/118.05
  6. Step 6: Final answer
    x = 102.54

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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.