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Finding the Fourth Proportional to 133.24, 183.80 and 89.60

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Solution

The fourth proportional to 133.24, 183.80 and 89.60 is: 123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.24 : 183.80 = 89.60 : x
  2. Step 2: Convert to fraction form
    133.24/183.80 = 89.60/x
  3. Step 3: Cross multiply
    133.24x = 183.80 × 89.60
  4. Step 4: Simplify right side
    133.24x = 16,468.48
  5. Step 5: Solve for x
    x = 16,468.48/133.24
  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.