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Finding the Fourth Proportional to 154.86, 232.08 and 109.10

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Solution

The fourth proportional to 154.86, 232.08 and 109.10 is: 163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.86 : 232.08 = 109.10 : x
  2. Step 2: Convert to fraction form
    154.86/232.08 = 109.10/x
  3. Step 3: Cross multiply
    154.86x = 232.08 × 109.10
  4. Step 4: Simplify right side
    154.86x = 25,319.93
  5. Step 5: Solve for x
    x = 25,319.93/154.86
  6. Step 6: Final answer
    x = 163.50

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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.