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Finding the Fourth Proportional to 109.56, 150.96 and 103.86

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Solution

The fourth proportional to 109.56, 150.96 and 103.86 is: 143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.56 : 150.96 = 103.86 : x
  2. Step 2: Convert to fraction form
    109.56/150.96 = 103.86/x
  3. Step 3: Cross multiply
    109.56x = 150.96 × 103.86
  4. Step 4: Simplify right side
    109.56x = 15,678.71
  5. Step 5: Solve for x
    x = 15,678.71/109.56
  6. Step 6: Final answer
    x = 143.11

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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.