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Finding the Fourth Proportional to 163.59, 245.47 and 109.59

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Solution

The fourth proportional to 163.59, 245.47 and 109.59 is: 164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.59 : 245.47 = 109.59 : x
  2. Step 2: Convert to fraction form
    163.59/245.47 = 109.59/x
  3. Step 3: Cross multiply
    163.59x = 245.47 × 109.59
  4. Step 4: Simplify right side
    163.59x = 26,901.06
  5. Step 5: Solve for x
    x = 26,901.06/163.59
  6. Step 6: Final answer
    x = 164.44

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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.