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Finding the Fourth Proportional to 133.45, 183.87 and 89.71

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Solution

The fourth proportional to 133.45, 183.87 and 89.71 is: 123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.45 : 183.87 = 89.71 : x
  2. Step 2: Convert to fraction form
    133.45/183.87 = 89.71/x
  3. Step 3: Cross multiply
    133.45x = 183.87 × 89.71
  4. Step 4: Simplify right side
    133.45x = 16,494.98
  5. Step 5: Solve for x
    x = 16,494.98/133.45
  6. Step 6: Final answer
    x = 123.60

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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.