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Finding the Fourth Proportional to 109.12, 162.64 and 101.04

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Solution

The fourth proportional to 109.12, 162.64 and 101.04 is: 150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.12 : 162.64 = 101.04 : x
  2. Step 2: Convert to fraction form
    109.12/162.64 = 101.04/x
  3. Step 3: Cross multiply
    109.12x = 162.64 × 101.04
  4. Step 4: Simplify right side
    109.12x = 16,433.15
  5. Step 5: Solve for x
    x = 16,433.15/109.12
  6. Step 6: Final answer
    x = 150.60

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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.