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Finding the Fourth Proportional to 133.55, 184.26 and 89.31

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Solution

The fourth proportional to 133.55, 184.26 and 89.31 is: 123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.55 : 184.26 = 89.31 : x
  2. Step 2: Convert to fraction form
    133.55/184.26 = 89.31/x
  3. Step 3: Cross multiply
    133.55x = 184.26 × 89.31
  4. Step 4: Simplify right side
    133.55x = 16,455.93
  5. Step 5: Solve for x
    x = 16,455.93/133.55
  6. Step 6: Final answer
    x = 123.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.