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Finding the Fourth Proportional to 109.40, 163.10 and 109.26

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Solution

The fourth proportional to 109.40, 163.10 and 109.26 is: 162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.40 : 163.10 = 109.26 : x
  2. Step 2: Convert to fraction form
    109.40/163.10 = 109.26/x
  3. Step 3: Cross multiply
    109.40x = 163.10 × 109.26
  4. Step 4: Simplify right side
    109.40x = 17,820.31
  5. Step 5: Solve for x
    x = 17,820.31/109.40
  6. Step 6: Final answer
    x = 162.89

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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.