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Finding the Fourth Proportional to 95.99, 143.28 and 83.84

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Solution

The fourth proportional to 95.99, 143.28 and 83.84 is: 125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.99 : 143.28 = 83.84 : x
  2. Step 2: Convert to fraction form
    95.99/143.28 = 83.84/x
  3. Step 3: Cross multiply
    95.99x = 143.28 × 83.84
  4. Step 4: Simplify right side
    95.99x = 12,011.88
  5. Step 5: Solve for x
    x = 12,011.88/95.99
  6. Step 6: Final answer
    x = 125.14

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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.