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Finding the Fourth Proportional to 96.12, 132.30 and 94.50

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Solution

The fourth proportional to 96.12, 132.30 and 94.50 is: 130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.12 : 132.30 = 94.50 : x
  2. Step 2: Convert to fraction form
    96.12/132.30 = 94.50/x
  3. Step 3: Cross multiply
    96.12x = 132.30 × 94.50
  4. Step 4: Simplify right side
    96.12x = 12,502.35
  5. Step 5: Solve for x
    x = 12,502.35/96.12
  6. Step 6: Final answer
    x = 130.07

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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.