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Finding the Fourth Proportional to 147.82, 221.94 and 75.76

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Solution

The fourth proportional to 147.82, 221.94 and 75.76 is: 113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.82 : 221.94 = 75.76 : x
  2. Step 2: Convert to fraction form
    147.82/221.94 = 75.76/x
  3. Step 3: Cross multiply
    147.82x = 221.94 × 75.76
  4. Step 4: Simplify right side
    147.82x = 16,814.17
  5. Step 5: Solve for x
    x = 16,814.17/147.82
  6. Step 6: Final answer
    x = 113.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.