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Finding the Fourth Proportional to 96.30, 145.22 and 95.27

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Solution

The fourth proportional to 96.30, 145.22 and 95.27 is: 143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.30 : 145.22 = 95.27 : x
  2. Step 2: Convert to fraction form
    96.30/145.22 = 95.27/x
  3. Step 3: Cross multiply
    96.30x = 145.22 × 95.27
  4. Step 4: Simplify right side
    96.30x = 13,833.91
  5. Step 5: Solve for x
    x = 13,833.91/96.30
  6. Step 6: Final answer
    x = 143.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.