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Finding the Fourth Proportional to 96.04, 143.05 and 95.84

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Solution

The fourth proportional to 96.04, 143.05 and 95.84 is: 142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.04 : 143.05 = 95.84 : x
  2. Step 2: Convert to fraction form
    96.04/143.05 = 95.84/x
  3. Step 3: Cross multiply
    96.04x = 143.05 × 95.84
  4. Step 4: Simplify right side
    96.04x = 13,709.91
  5. Step 5: Solve for x
    x = 13,709.91/96.04
  6. Step 6: Final answer
    x = 142.75

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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.