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Finding the Fourth Proportional to 96.56, 133.25 and 52.89

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Solution

The fourth proportional to 96.56, 133.25 and 52.89 is: 72.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.56 : 133.25 = 52.89 : x
  2. Step 2: Convert to fraction form
    96.56/133.25 = 52.89/x
  3. Step 3: Cross multiply
    96.56x = 133.25 × 52.89
  4. Step 4: Simplify right side
    96.56x = 7,048.10
  5. Step 5: Solve for x
    x = 7,048.10/96.56
  6. Step 6: Final answer
    x = 72.99

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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.