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Finding the Fourth Proportional to 51.05, 76.47 and 29.63

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Solution

The fourth proportional to 51.05, 76.47 and 29.63 is: 44.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.05 : 76.47 = 29.63 : x
  2. Step 2: Convert to fraction form
    51.05/76.47 = 29.63/x
  3. Step 3: Cross multiply
    51.05x = 76.47 × 29.63
  4. Step 4: Simplify right side
    51.05x = 2,265.81
  5. Step 5: Solve for x
    x = 2,265.81/51.05
  6. Step 6: Final answer
    x = 44.38

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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.