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Finding the Fourth Proportional to 89.33, 133.82 and 52.69

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Solution

The fourth proportional to 89.33, 133.82 and 52.69 is: 78.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.33 : 133.82 = 52.69 : x
  2. Step 2: Convert to fraction form
    89.33/133.82 = 52.69/x
  3. Step 3: Cross multiply
    89.33x = 133.82 × 52.69
  4. Step 4: Simplify right side
    89.33x = 7,050.75
  5. Step 5: Solve for x
    x = 7,050.75/89.33
  6. Step 6: Final answer
    x = 78.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.