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Finding the Fourth Proportional to 133.50, 184.34 and 86.91

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Solution

The fourth proportional to 133.50, 184.34 and 86.91 is: 120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.50 : 184.34 = 86.91 : x
  2. Step 2: Convert to fraction form
    133.50/184.34 = 86.91/x
  3. Step 3: Cross multiply
    133.50x = 184.34 × 86.91
  4. Step 4: Simplify right side
    133.50x = 16,020.93
  5. Step 5: Solve for x
    x = 16,020.93/133.50
  6. Step 6: Final answer
    x = 120.01

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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.