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Finding the Fourth Proportional to 96.68, 145.00 and 67.70

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Solution

The fourth proportional to 96.68, 145.00 and 67.70 is: 101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.68 : 145.00 = 67.70 : x
  2. Step 2: Convert to fraction form
    96.68/145.00 = 67.70/x
  3. Step 3: Cross multiply
    96.68x = 145.00 × 67.70
  4. Step 4: Simplify right side
    96.68x = 9,815.44
  5. Step 5: Solve for x
    x = 9,815.44/96.68
  6. Step 6: Final answer
    x = 101.53

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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.