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Finding the Fourth Proportional to 112.94, 169.38 and 52.05

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Solution

The fourth proportional to 112.94, 169.38 and 52.05 is: 78.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.94 : 169.38 = 52.05 : x
  2. Step 2: Convert to fraction form
    112.94/169.38 = 52.05/x
  3. Step 3: Cross multiply
    112.94x = 169.38 × 52.05
  4. Step 4: Simplify right side
    112.94x = 8,816.23
  5. Step 5: Solve for x
    x = 8,816.23/112.94
  6. Step 6: Final answer
    x = 78.06

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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.