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Finding the Fourth Proportional to 96.70, 145.05 and 35.83

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Solution

The fourth proportional to 96.70, 145.05 and 35.83 is: 53.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.70 : 145.05 = 35.83 : x
  2. Step 2: Convert to fraction form
    96.70/145.05 = 35.83/x
  3. Step 3: Cross multiply
    96.70x = 145.05 × 35.83
  4. Step 4: Simplify right side
    96.70x = 5,196.42
  5. Step 5: Solve for x
    x = 5,196.42/96.70
  6. Step 6: Final answer
    x = 53.74

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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.