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Finding the Fourth Proportional to 108.30, 162.27 and 100.20

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Solution

The fourth proportional to 108.30, 162.27 and 100.20 is: 150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.30 : 162.27 = 100.20 : x
  2. Step 2: Convert to fraction form
    108.30/162.27 = 100.20/x
  3. Step 3: Cross multiply
    108.30x = 162.27 × 100.20
  4. Step 4: Simplify right side
    108.30x = 16,259.45
  5. Step 5: Solve for x
    x = 16,259.45/108.30
  6. Step 6: Final answer
    x = 150.13

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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.