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Finding the Fourth Proportional to 134.87, 202.10 and 123.22

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Solution

The fourth proportional to 134.87, 202.10 and 123.22 is: 184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.87 : 202.10 = 123.22 : x
  2. Step 2: Convert to fraction form
    134.87/202.10 = 123.22/x
  3. Step 3: Cross multiply
    134.87x = 202.10 × 123.22
  4. Step 4: Simplify right side
    134.87x = 24,902.40
  5. Step 5: Solve for x
    x = 24,902.40/134.87
  6. Step 6: Final answer
    x = 184.65

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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.