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Finding the Fourth Proportional to 117.45, 175.98 and 113.22

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Solution

The fourth proportional to 117.45, 175.98 and 113.22 is: 169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.45 : 175.98 = 113.22 : x
  2. Step 2: Convert to fraction form
    117.45/175.98 = 113.22/x
  3. Step 3: Cross multiply
    117.45x = 175.98 × 113.22
  4. Step 4: Simplify right side
    117.45x = 19,924.46
  5. Step 5: Solve for x
    x = 19,924.46/117.45
  6. Step 6: Final answer
    x = 169.64

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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.