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Finding the Fourth Proportional to 109.02, 162.84 and 107.88

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Solution

The fourth proportional to 109.02, 162.84 and 107.88 is: 161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.02 : 162.84 = 107.88 : x
  2. Step 2: Convert to fraction form
    109.02/162.84 = 107.88/x
  3. Step 3: Cross multiply
    109.02x = 162.84 × 107.88
  4. Step 4: Simplify right side
    109.02x = 17,567.18
  5. Step 5: Solve for x
    x = 17,567.18/109.02
  6. Step 6: Final answer
    x = 161.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.