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Finding the Fourth Proportional to 118.04, 162.82 and 72.04

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Solution

The fourth proportional to 118.04, 162.82 and 72.04 is: 99.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.04 : 162.82 = 72.04 : x
  2. Step 2: Convert to fraction form
    118.04/162.82 = 72.04/x
  3. Step 3: Cross multiply
    118.04x = 162.82 × 72.04
  4. Step 4: Simplify right side
    118.04x = 11,729.55
  5. Step 5: Solve for x
    x = 11,729.55/118.04
  6. Step 6: Final answer
    x = 99.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.