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Finding the Fourth Proportional to 96.30, 131.13 and 95.76

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Solution

The fourth proportional to 96.30, 131.13 and 95.76 is: 130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.30 : 131.13 = 95.76 : x
  2. Step 2: Convert to fraction form
    96.30/131.13 = 95.76/x
  3. Step 3: Cross multiply
    96.30x = 131.13 × 95.76
  4. Step 4: Simplify right side
    96.30x = 12,557.01
  5. Step 5: Solve for x
    x = 12,557.01/96.30
  6. Step 6: Final answer
    x = 130.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.