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Finding the Fourth Proportional to 96.94, 145.16 and 69.88

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Solution

The fourth proportional to 96.94, 145.16 and 69.88 is: 104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.94 : 145.16 = 69.88 : x
  2. Step 2: Convert to fraction form
    96.94/145.16 = 69.88/x
  3. Step 3: Cross multiply
    96.94x = 145.16 × 69.88
  4. Step 4: Simplify right side
    96.94x = 10,143.78
  5. Step 5: Solve for x
    x = 10,143.78/96.94
  6. Step 6: Final answer
    x = 104.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.