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Finding the Fourth Proportional to 96.78, 145.10 and 47.96

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Solution

The fourth proportional to 96.78, 145.10 and 47.96 is: 71.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.78 : 145.10 = 47.96 : x
  2. Step 2: Convert to fraction form
    96.78/145.10 = 47.96/x
  3. Step 3: Cross multiply
    96.78x = 145.10 × 47.96
  4. Step 4: Simplify right side
    96.78x = 6,958.03
  5. Step 5: Solve for x
    x = 6,958.03/96.78
  6. Step 6: Final answer
    x = 71.90

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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.