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Finding the Fourth Proportional to 95.76, 144.30 and 83.88

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Solution

The fourth proportional to 95.76, 144.30 and 83.88 is: 126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.76 : 144.30 = 83.88 : x
  2. Step 2: Convert to fraction form
    95.76/144.30 = 83.88/x
  3. Step 3: Cross multiply
    95.76x = 144.30 × 83.88
  4. Step 4: Simplify right side
    95.76x = 12,103.88
  5. Step 5: Solve for x
    x = 12,103.88/95.76
  6. Step 6: Final answer
    x = 126.40

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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.