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Finding the Fourth Proportional to 117.86, 175.79 and 106.93

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Solution

The fourth proportional to 117.86, 175.79 and 106.93 is: 159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.86 : 175.79 = 106.93 : x
  2. Step 2: Convert to fraction form
    117.86/175.79 = 106.93/x
  3. Step 3: Cross multiply
    117.86x = 175.79 × 106.93
  4. Step 4: Simplify right side
    117.86x = 18,797.05
  5. Step 5: Solve for x
    x = 18,797.05/117.86
  6. Step 6: Final answer
    x = 159.48

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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.