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Finding the Fourth Proportional to 134.62, 202.22 and 116.54

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Solution

The fourth proportional to 134.62, 202.22 and 116.54 is: 175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.62 : 202.22 = 116.54 : x
  2. Step 2: Convert to fraction form
    134.62/202.22 = 116.54/x
  3. Step 3: Cross multiply
    134.62x = 202.22 × 116.54
  4. Step 4: Simplify right side
    134.62x = 23,566.72
  5. Step 5: Solve for x
    x = 23,566.72/134.62
  6. Step 6: Final answer
    x = 175.06

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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.