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Finding the Fourth Proportional to 108.38, 162.72 and 78.08

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Solution

The fourth proportional to 108.38, 162.72 and 78.08 is: 117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.38 : 162.72 = 78.08 : x
  2. Step 2: Convert to fraction form
    108.38/162.72 = 78.08/x
  3. Step 3: Cross multiply
    108.38x = 162.72 × 78.08
  4. Step 4: Simplify right side
    108.38x = 12,705.18
  5. Step 5: Solve for x
    x = 12,705.18/108.38
  6. Step 6: Final answer
    x = 117.23

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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.