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Finding the Fourth Proportional to 105.60, 159.60 and 103.81

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Solution

The fourth proportional to 105.60, 159.60 and 103.81 is: 156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.60 : 159.60 = 103.81 : x
  2. Step 2: Convert to fraction form
    105.60/159.60 = 103.81/x
  3. Step 3: Cross multiply
    105.60x = 159.60 × 103.81
  4. Step 4: Simplify right side
    105.60x = 16,566.76
  5. Step 5: Solve for x
    x = 16,566.76/105.60
  6. Step 6: Final answer
    x = 156.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.