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Finding the Fourth Proportional to 96.64, 144.97 and 34.93

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Solution

The fourth proportional to 96.64, 144.97 and 34.93 is: 52.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.64 : 144.97 = 34.93 : x
  2. Step 2: Convert to fraction form
    96.64/144.97 = 34.93/x
  3. Step 3: Cross multiply
    96.64x = 144.97 × 34.93
  4. Step 4: Simplify right side
    96.64x = 5,064.09
  5. Step 5: Solve for x
    x = 5,064.09/96.64
  6. Step 6: Final answer
    x = 52.40

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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.