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Finding the Fourth Proportional to 96.05, 132.53 and 60.59

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Solution

The fourth proportional to 96.05, 132.53 and 60.59 is: 83.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.05 : 132.53 = 60.59 : x
  2. Step 2: Convert to fraction form
    96.05/132.53 = 60.59/x
  3. Step 3: Cross multiply
    96.05x = 132.53 × 60.59
  4. Step 4: Simplify right side
    96.05x = 8,030.41
  5. Step 5: Solve for x
    x = 8,030.41/96.05
  6. Step 6: Final answer
    x = 83.61

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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.