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Finding the Fourth Proportional to 117.36, 175.96 and 106.64

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Solution

The fourth proportional to 117.36, 175.96 and 106.64 is: 159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.36 : 175.96 = 106.64 : x
  2. Step 2: Convert to fraction form
    117.36/175.96 = 106.64/x
  3. Step 3: Cross multiply
    117.36x = 175.96 × 106.64
  4. Step 4: Simplify right side
    117.36x = 18,764.37
  5. Step 5: Solve for x
    x = 18,764.37/117.36
  6. Step 6: Final answer
    x = 159.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.