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Finding the Fourth Proportional to 109.07, 150.47 and 67.59

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Solution

The fourth proportional to 109.07, 150.47 and 67.59 is: 93.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.07 : 150.47 = 67.59 : x
  2. Step 2: Convert to fraction form
    109.07/150.47 = 67.59/x
  3. Step 3: Cross multiply
    109.07x = 150.47 × 67.59
  4. Step 4: Simplify right side
    109.07x = 10,169.93
  5. Step 5: Solve for x
    x = 10,169.93/109.07
  6. Step 6: Final answer
    x = 93.25

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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.