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Finding the Fourth Proportional to 96.76, 133.53 and 59.93

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Solution

The fourth proportional to 96.76, 133.53 and 59.93 is: 82.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.76 : 133.53 = 59.93 : x
  2. Step 2: Convert to fraction form
    96.76/133.53 = 59.93/x
  3. Step 3: Cross multiply
    96.76x = 133.53 × 59.93
  4. Step 4: Simplify right side
    96.76x = 8,002.45
  5. Step 5: Solve for x
    x = 8,002.45/96.76
  6. Step 6: Final answer
    x = 82.71

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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.