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Finding the Fourth Proportional to 133.36, 183.96 and 89.10

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Solution

The fourth proportional to 133.36, 183.96 and 89.10 is: 122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.36 : 183.96 = 89.10 : x
  2. Step 2: Convert to fraction form
    133.36/183.96 = 89.10/x
  3. Step 3: Cross multiply
    133.36x = 183.96 × 89.10
  4. Step 4: Simplify right side
    133.36x = 16,390.84
  5. Step 5: Solve for x
    x = 16,390.84/133.36
  6. Step 6: Final answer
    x = 122.91

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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.