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Finding the Fourth Proportional to 96.84, 146.21 and 95.58

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Solution

The fourth proportional to 96.84, 146.21 and 95.58 is: 144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.84 : 146.21 = 95.58 : x
  2. Step 2: Convert to fraction form
    96.84/146.21 = 95.58/x
  3. Step 3: Cross multiply
    96.84x = 146.21 × 95.58
  4. Step 4: Simplify right side
    96.84x = 13,974.27
  5. Step 5: Solve for x
    x = 13,974.27/96.84
  6. Step 6: Final answer
    x = 144.30

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Why These Related Problems?

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