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Finding the Fourth Proportional to 96.35, 145.23 and 94.28

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Solution

The fourth proportional to 96.35, 145.23 and 94.28 is: 142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.35 : 145.23 = 94.28 : x
  2. Step 2: Convert to fraction form
    96.35/145.23 = 94.28/x
  3. Step 3: Cross multiply
    96.35x = 145.23 × 94.28
  4. Step 4: Simplify right side
    96.35x = 13,691.56
  5. Step 5: Solve for x
    x = 13,691.56/96.35
  6. Step 6: Final answer
    x = 142.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.