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Finding the Fourth Proportional to 117.69, 175.60 and 106.18

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Solution

The fourth proportional to 117.69, 175.60 and 106.18 is: 158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.69 : 175.60 = 106.18 : x
  2. Step 2: Convert to fraction form
    117.69/175.60 = 106.18/x
  3. Step 3: Cross multiply
    117.69x = 175.60 × 106.18
  4. Step 4: Simplify right side
    117.69x = 18,645.21
  5. Step 5: Solve for x
    x = 18,645.21/117.69
  6. Step 6: Final answer
    x = 158.43

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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.