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Finding the Fourth Proportional to 96.04, 142.83 and 94.96

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Solution

The fourth proportional to 96.04, 142.83 and 94.96 is: 141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.04 : 142.83 = 94.96 : x
  2. Step 2: Convert to fraction form
    96.04/142.83 = 94.96/x
  3. Step 3: Cross multiply
    96.04x = 142.83 × 94.96
  4. Step 4: Simplify right side
    96.04x = 13,563.14
  5. Step 5: Solve for x
    x = 13,563.14/96.04
  6. Step 6: Final answer
    x = 141.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.