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Finding the Fourth Proportional to 77.53, 116.30 and 19.76

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Solution

The fourth proportional to 77.53, 116.30 and 19.76 is: 29.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.53 : 116.30 = 19.76 : x
  2. Step 2: Convert to fraction form
    77.53/116.30 = 19.76/x
  3. Step 3: Cross multiply
    77.53x = 116.30 × 19.76
  4. Step 4: Simplify right side
    77.53x = 2,297.41
  5. Step 5: Solve for x
    x = 2,297.41/77.53
  6. Step 6: Final answer
    x = 29.63

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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.