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Finding the Fourth Proportional to 109.25, 162.76 and 104.59

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Solution

The fourth proportional to 109.25, 162.76 and 104.59 is: 155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.25 : 162.76 = 104.59 : x
  2. Step 2: Convert to fraction form
    109.25/162.76 = 104.59/x
  3. Step 3: Cross multiply
    109.25x = 162.76 × 104.59
  4. Step 4: Simplify right side
    109.25x = 17,022.55
  5. Step 5: Solve for x
    x = 17,022.55/109.25
  6. Step 6: Final answer
    x = 155.82

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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.