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Finding the Fourth Proportional to 109.60, 163.08 and 109.24

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Solution

The fourth proportional to 109.60, 163.08 and 109.24 is: 162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.60 : 163.08 = 109.24 : x
  2. Step 2: Convert to fraction form
    109.60/163.08 = 109.24/x
  3. Step 3: Cross multiply
    109.60x = 163.08 × 109.24
  4. Step 4: Simplify right side
    109.60x = 17,814.86
  5. Step 5: Solve for x
    x = 17,814.86/109.60
  6. Step 6: Final answer
    x = 162.54

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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.