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Finding the Fourth Proportional to 109.07, 163.41 and 78.57

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Solution

The fourth proportional to 109.07, 163.41 and 78.57 is: 117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.07 : 163.41 = 78.57 : x
  2. Step 2: Convert to fraction form
    109.07/163.41 = 78.57/x
  3. Step 3: Cross multiply
    109.07x = 163.41 × 78.57
  4. Step 4: Simplify right side
    109.07x = 12,839.12
  5. Step 5: Solve for x
    x = 12,839.12/109.07
  6. Step 6: Final answer
    x = 117.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.