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Finding the Fourth Proportional to 109.46, 151.07 and 105.86

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Solution

The fourth proportional to 109.46, 151.07 and 105.86 is: 146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.46 : 151.07 = 105.86 : x
  2. Step 2: Convert to fraction form
    109.46/151.07 = 105.86/x
  3. Step 3: Cross multiply
    109.46x = 151.07 × 105.86
  4. Step 4: Simplify right side
    109.46x = 15,992.16
  5. Step 5: Solve for x
    x = 15,992.16/109.46
  6. Step 6: Final answer
    x = 146.10

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Why These Related Problems?

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