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Finding the Fourth Proportional to 96.12, 132.71 and 72.77

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Solution

The fourth proportional to 96.12, 132.71 and 72.77 is: 100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.12 : 132.71 = 72.77 : x
  2. Step 2: Convert to fraction form
    96.12/132.71 = 72.77/x
  3. Step 3: Cross multiply
    96.12x = 132.71 × 72.77
  4. Step 4: Simplify right side
    96.12x = 9,656.28
  5. Step 5: Solve for x
    x = 9,656.28/96.12
  6. Step 6: Final answer
    x = 100.46

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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.