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Finding the Fourth Proportional to 117.60, 175.44 and 107.12

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Solution

The fourth proportional to 117.60, 175.44 and 107.12 is: 159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.60 : 175.44 = 107.12 : x
  2. Step 2: Convert to fraction form
    117.60/175.44 = 107.12/x
  3. Step 3: Cross multiply
    117.60x = 175.44 × 107.12
  4. Step 4: Simplify right side
    117.60x = 18,793.13
  5. Step 5: Solve for x
    x = 18,793.13/117.60
  6. Step 6: Final answer
    x = 159.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.