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Finding the Fourth Proportional to 133.06, 183.63 and 89.46

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Solution

The fourth proportional to 133.06, 183.63 and 89.46 is: 123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.06 : 183.63 = 89.46 : x
  2. Step 2: Convert to fraction form
    133.06/183.63 = 89.46/x
  3. Step 3: Cross multiply
    133.06x = 183.63 × 89.46
  4. Step 4: Simplify right side
    133.06x = 16,427.54
  5. Step 5: Solve for x
    x = 16,427.54/133.06
  6. Step 6: Final answer
    x = 123.46

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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.