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Finding the Fourth Proportional to 109.17, 150.50 and 78.09

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Solution

The fourth proportional to 109.17, 150.50 and 78.09 is: 107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.17 : 150.50 = 78.09 : x
  2. Step 2: Convert to fraction form
    109.17/150.50 = 78.09/x
  3. Step 3: Cross multiply
    109.17x = 150.50 × 78.09
  4. Step 4: Simplify right side
    109.17x = 11,752.15
  5. Step 5: Solve for x
    x = 11,752.15/109.17
  6. Step 6: Final answer
    x = 107.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.