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Finding the Fourth Proportional to 133.09, 183.71 and 89.48

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Solution

The fourth proportional to 133.09, 183.71 and 89.48 is: 123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.09 : 183.71 = 89.48 : x
  2. Step 2: Convert to fraction form
    133.09/183.71 = 89.48/x
  3. Step 3: Cross multiply
    133.09x = 183.71 × 89.48
  4. Step 4: Simplify right side
    133.09x = 16,438.37
  5. Step 5: Solve for x
    x = 16,438.37/133.09
  6. Step 6: Final answer
    x = 123.51

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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.