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Finding the Fourth Proportional to 133.55, 184.52 and 110.21

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Solution

The fourth proportional to 133.55, 184.52 and 110.21 is: 152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.55 : 184.52 = 110.21 : x
  2. Step 2: Convert to fraction form
    133.55/184.52 = 110.21/x
  3. Step 3: Cross multiply
    133.55x = 184.52 × 110.21
  4. Step 4: Simplify right side
    133.55x = 20,335.86
  5. Step 5: Solve for x
    x = 20,335.86/133.55
  6. Step 6: Final answer
    x = 152.28

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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.