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Finding the Fourth Proportional to 96.70, 145.07 and 35.85

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Solution

The fourth proportional to 96.70, 145.07 and 35.85 is: 53.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.70 : 145.07 = 35.85 : x
  2. Step 2: Convert to fraction form
    96.70/145.07 = 35.85/x
  3. Step 3: Cross multiply
    96.70x = 145.07 × 35.85
  4. Step 4: Simplify right side
    96.70x = 5,200.76
  5. Step 5: Solve for x
    x = 5,200.76/96.70
  6. Step 6: Final answer
    x = 53.78

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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.