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Finding the Fourth Proportional to 109.15, 149.62 and 107.18

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Solution

The fourth proportional to 109.15, 149.62 and 107.18 is: 146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.15 : 149.62 = 107.18 : x
  2. Step 2: Convert to fraction form
    109.15/149.62 = 107.18/x
  3. Step 3: Cross multiply
    109.15x = 149.62 × 107.18
  4. Step 4: Simplify right side
    109.15x = 16,036.74
  5. Step 5: Solve for x
    x = 16,036.74/109.15
  6. Step 6: Final answer
    x = 146.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.