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Finding the Fourth Proportional to 96.08, 145.14 and 95.72

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Solution

The fourth proportional to 96.08, 145.14 and 95.72 is: 144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.08 : 145.14 = 95.72 : x
  2. Step 2: Convert to fraction form
    96.08/145.14 = 95.72/x
  3. Step 3: Cross multiply
    96.08x = 145.14 × 95.72
  4. Step 4: Simplify right side
    96.08x = 13,891.72
  5. Step 5: Solve for x
    x = 13,891.72/96.08
  6. Step 6: Final answer
    x = 144.59

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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.