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Finding the Fourth Proportional to 109.16, 164.54 and 103.28

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Solution

The fourth proportional to 109.16, 164.54 and 103.28 is: 155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.16 : 164.54 = 103.28 : x
  2. Step 2: Convert to fraction form
    109.16/164.54 = 103.28/x
  3. Step 3: Cross multiply
    109.16x = 164.54 × 103.28
  4. Step 4: Simplify right side
    109.16x = 16,993.69
  5. Step 5: Solve for x
    x = 16,993.69/109.16
  6. Step 6: Final answer
    x = 155.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.