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Finding the Fourth Proportional to 96.78, 145.09 and 42.73

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Solution

The fourth proportional to 96.78, 145.09 and 42.73 is: 64.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.78 : 145.09 = 42.73 : x
  2. Step 2: Convert to fraction form
    96.78/145.09 = 42.73/x
  3. Step 3: Cross multiply
    96.78x = 145.09 × 42.73
  4. Step 4: Simplify right side
    96.78x = 6,199.70
  5. Step 5: Solve for x
    x = 6,199.70/96.78
  6. Step 6: Final answer
    x = 64.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.