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Finding the Fourth Proportional to 134.29, 200.51 and 111.52

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Solution

The fourth proportional to 134.29, 200.51 and 111.52 is: 166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.29 : 200.51 = 111.52 : x
  2. Step 2: Convert to fraction form
    134.29/200.51 = 111.52/x
  3. Step 3: Cross multiply
    134.29x = 200.51 × 111.52
  4. Step 4: Simplify right side
    134.29x = 22,360.88
  5. Step 5: Solve for x
    x = 22,360.88/134.29
  6. Step 6: Final answer
    x = 166.51

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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.