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Finding the Fourth Proportional to 97.75, 145.12 and 96.13

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Solution

The fourth proportional to 97.75, 145.12 and 96.13 is: 142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.75 : 145.12 = 96.13 : x
  2. Step 2: Convert to fraction form
    97.75/145.12 = 96.13/x
  3. Step 3: Cross multiply
    97.75x = 145.12 × 96.13
  4. Step 4: Simplify right side
    97.75x = 13,950.39
  5. Step 5: Solve for x
    x = 13,950.39/97.75
  6. Step 6: Final answer
    x = 142.71

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.