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Finding the Fourth Proportional to 96.54, 133.14 and 59.67

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Solution

The fourth proportional to 96.54, 133.14 and 59.67 is: 82.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.54 : 133.14 = 59.67 : x
  2. Step 2: Convert to fraction form
    96.54/133.14 = 59.67/x
  3. Step 3: Cross multiply
    96.54x = 133.14 × 59.67
  4. Step 4: Simplify right side
    96.54x = 7,944.46
  5. Step 5: Solve for x
    x = 7,944.46/96.54
  6. Step 6: Final answer
    x = 82.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.