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Finding the Fourth Proportional to 118, 162.84 and 72

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Solution

The fourth proportional to 118, 162.84 and 72 is: 99.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118 : 162.84 = 72 : x
  2. Step 2: Convert to fraction form
    118/162.84 = 72/x
  3. Step 3: Cross multiply
    118x = 162.84 × 72
  4. Step 4: Simplify right side
    118x = 11,724.48
  5. Step 5: Solve for x
    x = 11,724.48/118
  6. Step 6: Final answer
    x = 99.36

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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.