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Finding the Fourth Proportional to 46.44, 63.76 and 42.80

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Solution

The fourth proportional to 46.44, 63.76 and 42.80 is: 58.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.44 : 63.76 = 42.80 : x
  2. Step 2: Convert to fraction form
    46.44/63.76 = 42.80/x
  3. Step 3: Cross multiply
    46.44x = 63.76 × 42.80
  4. Step 4: Simplify right side
    46.44x = 2,728.93
  5. Step 5: Solve for x
    x = 2,728.93/46.44
  6. Step 6: Final answer
    x = 58.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.