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Finding the Fourth Proportional to 133.68, 184.58 and 113.20

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Solution

The fourth proportional to 133.68, 184.58 and 113.20 is: 156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.68 : 184.58 = 113.20 : x
  2. Step 2: Convert to fraction form
    133.68/184.58 = 113.20/x
  3. Step 3: Cross multiply
    133.68x = 184.58 × 113.20
  4. Step 4: Simplify right side
    133.68x = 20,893.85
  5. Step 5: Solve for x
    x = 20,893.85/133.68
  6. Step 6: Final answer
    x = 156.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.