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Finding the Fourth Proportional to 108.69, 162.90 and 78.27

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Solution

The fourth proportional to 108.69, 162.90 and 78.27 is: 117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.69 : 162.90 = 78.27 : x
  2. Step 2: Convert to fraction form
    108.69/162.90 = 78.27/x
  3. Step 3: Cross multiply
    108.69x = 162.90 × 78.27
  4. Step 4: Simplify right side
    108.69x = 12,749.37
  5. Step 5: Solve for x
    x = 12,749.37/108.69
  6. Step 6: Final answer
    x = 117.31

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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.