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Finding the Fourth Proportional to 96.64, 145.08 and 69.75

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Solution

The fourth proportional to 96.64, 145.08 and 69.75 is: 104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.64 : 145.08 = 69.75 : x
  2. Step 2: Convert to fraction form
    96.64/145.08 = 69.75/x
  3. Step 3: Cross multiply
    96.64x = 145.08 × 69.75
  4. Step 4: Simplify right side
    96.64x = 10,119.33
  5. Step 5: Solve for x
    x = 10,119.33/96.64
  6. Step 6: Final answer
    x = 104.71

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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.