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Finding the Fourth Proportional to 133.34, 183.81 and 81.50

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Solution

The fourth proportional to 133.34, 183.81 and 81.50 is: 112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.34 : 183.81 = 81.50 : x
  2. Step 2: Convert to fraction form
    133.34/183.81 = 81.50/x
  3. Step 3: Cross multiply
    133.34x = 183.81 × 81.50
  4. Step 4: Simplify right side
    133.34x = 14,980.52
  5. Step 5: Solve for x
    x = 14,980.52/133.34
  6. Step 6: Final answer
    x = 112.35

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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.