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Finding the Fourth Proportional to 113.94, 171.63 and 112.52

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Solution

The fourth proportional to 113.94, 171.63 and 112.52 is: 169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.94 : 171.63 = 112.52 : x
  2. Step 2: Convert to fraction form
    113.94/171.63 = 112.52/x
  3. Step 3: Cross multiply
    113.94x = 171.63 × 112.52
  4. Step 4: Simplify right side
    113.94x = 19,311.81
  5. Step 5: Solve for x
    x = 19,311.81/113.94
  6. Step 6: Final answer
    x = 169.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.