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Finding the Fourth Proportional to 134.76, 202.38 and 110.76

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Solution

The fourth proportional to 134.76, 202.38 and 110.76 is: 166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.76 : 202.38 = 110.76 : x
  2. Step 2: Convert to fraction form
    134.76/202.38 = 110.76/x
  3. Step 3: Cross multiply
    134.76x = 202.38 × 110.76
  4. Step 4: Simplify right side
    134.76x = 22,415.61
  5. Step 5: Solve for x
    x = 22,415.61/134.76
  6. Step 6: Final answer
    x = 166.34

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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.