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Finding the Fourth Proportional to 118, 162.90 and 74.38

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Solution

The fourth proportional to 118, 162.90 and 74.38 is: 102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118 : 162.90 = 74.38 : x
  2. Step 2: Convert to fraction form
    118/162.90 = 74.38/x
  3. Step 3: Cross multiply
    118x = 162.90 × 74.38
  4. Step 4: Simplify right side
    118x = 12,116.50
  5. Step 5: Solve for x
    x = 12,116.50/118
  6. Step 6: Final answer
    x = 102.68

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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.