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Finding the Fourth Proportional to 108.96, 163.36 and 102.08

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Solution

The fourth proportional to 108.96, 163.36 and 102.08 is: 153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.96 : 163.36 = 102.08 : x
  2. Step 2: Convert to fraction form
    108.96/163.36 = 102.08/x
  3. Step 3: Cross multiply
    108.96x = 163.36 × 102.08
  4. Step 4: Simplify right side
    108.96x = 16,675.79
  5. Step 5: Solve for x
    x = 16,675.79/108.96
  6. Step 6: Final answer
    x = 153.05

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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.