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Finding the Fourth Proportional to 96.07, 132.26 and 83.13

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Solution

The fourth proportional to 96.07, 132.26 and 83.13 is: 114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.07 : 132.26 = 83.13 : x
  2. Step 2: Convert to fraction form
    96.07/132.26 = 83.13/x
  3. Step 3: Cross multiply
    96.07x = 132.26 × 83.13
  4. Step 4: Simplify right side
    96.07x = 10,994.77
  5. Step 5: Solve for x
    x = 10,994.77/96.07
  6. Step 6: Final answer
    x = 114.45

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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.