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Finding the Fourth Proportional to 117.95, 175.67 and 113.70

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Solution

The fourth proportional to 117.95, 175.67 and 113.70 is: 169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.95 : 175.67 = 113.70 : x
  2. Step 2: Convert to fraction form
    117.95/175.67 = 113.70/x
  3. Step 3: Cross multiply
    117.95x = 175.67 × 113.70
  4. Step 4: Simplify right side
    117.95x = 19,973.68
  5. Step 5: Solve for x
    x = 19,973.68/117.95
  6. Step 6: Final answer
    x = 169.34

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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.