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Finding the Fourth Proportional to 108.65, 162.89 and 98.27

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Solution

The fourth proportional to 108.65, 162.89 and 98.27 is: 147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.65 : 162.89 = 98.27 : x
  2. Step 2: Convert to fraction form
    108.65/162.89 = 98.27/x
  3. Step 3: Cross multiply
    108.65x = 162.89 × 98.27
  4. Step 4: Simplify right side
    108.65x = 16,007.20
  5. Step 5: Solve for x
    x = 16,007.20/108.65
  6. Step 6: Final answer
    x = 147.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.