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Finding the Fourth Proportional to 95.76, 144.36 and 77.94

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Solution

The fourth proportional to 95.76, 144.36 and 77.94 is: 117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.76 : 144.36 = 77.94 : x
  2. Step 2: Convert to fraction form
    95.76/144.36 = 77.94/x
  3. Step 3: Cross multiply
    95.76x = 144.36 × 77.94
  4. Step 4: Simplify right side
    95.76x = 11,251.42
  5. Step 5: Solve for x
    x = 11,251.42/95.76
  6. Step 6: Final answer
    x = 117.50

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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.