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Finding the Fourth Proportional to 134.06, 199.95 and 112.52

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Solution

The fourth proportional to 134.06, 199.95 and 112.52 is: 167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.06 : 199.95 = 112.52 : x
  2. Step 2: Convert to fraction form
    134.06/199.95 = 112.52/x
  3. Step 3: Cross multiply
    134.06x = 199.95 × 112.52
  4. Step 4: Simplify right side
    134.06x = 22,499.08
  5. Step 5: Solve for x
    x = 22,499.08/134.06
  6. Step 6: Final answer
    x = 167.83

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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.