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Finding the Fourth Proportional to 133.85, 184.55 and 107.67

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Solution

The fourth proportional to 133.85, 184.55 and 107.67 is: 148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.85 : 184.55 = 107.67 : x
  2. Step 2: Convert to fraction form
    133.85/184.55 = 107.67/x
  3. Step 3: Cross multiply
    133.85x = 184.55 × 107.67
  4. Step 4: Simplify right side
    133.85x = 19,870.77
  5. Step 5: Solve for x
    x = 19,870.77/133.85
  6. Step 6: Final answer
    x = 148.46

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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.