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Finding the Fourth Proportional to 96.70, 132.58 and 94.97

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Solution

The fourth proportional to 96.70, 132.58 and 94.97 is: 130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.70 : 132.58 = 94.97 : x
  2. Step 2: Convert to fraction form
    96.70/132.58 = 94.97/x
  3. Step 3: Cross multiply
    96.70x = 132.58 × 94.97
  4. Step 4: Simplify right side
    96.70x = 12,590.22
  5. Step 5: Solve for x
    x = 12,590.22/96.70
  6. Step 6: Final answer
    x = 130.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.