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Finding the Fourth Proportional to 134.66, 202.50 and 107.30

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Solution

The fourth proportional to 134.66, 202.50 and 107.30 is: 161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.66 : 202.50 = 107.30 : x
  2. Step 2: Convert to fraction form
    134.66/202.50 = 107.30/x
  3. Step 3: Cross multiply
    134.66x = 202.50 × 107.30
  4. Step 4: Simplify right side
    134.66x = 21,728.25
  5. Step 5: Solve for x
    x = 21,728.25/134.66
  6. Step 6: Final answer
    x = 161.36

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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.