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Finding the Fourth Proportional to 108.40, 162.72 and 81.28

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Solution

The fourth proportional to 108.40, 162.72 and 81.28 is: 122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.40 : 162.72 = 81.28 : x
  2. Step 2: Convert to fraction form
    108.40/162.72 = 81.28/x
  3. Step 3: Cross multiply
    108.40x = 162.72 × 81.28
  4. Step 4: Simplify right side
    108.40x = 13,225.88
  5. Step 5: Solve for x
    x = 13,225.88/108.40
  6. Step 6: Final answer
    x = 122.01

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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.