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Finding the Fourth Proportional to 133.34, 184 and 74.32

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Solution

The fourth proportional to 133.34, 184 and 74.32 is: 102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.34 : 184 = 74.32 : x
  2. Step 2: Convert to fraction form
    133.34/184 = 74.32/x
  3. Step 3: Cross multiply
    133.34x = 184 × 74.32
  4. Step 4: Simplify right side
    133.34x = 13,674.88
  5. Step 5: Solve for x
    x = 13,674.88/133.34
  6. Step 6: Final answer
    x = 102.56

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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.