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Finding the Fourth Proportional to 45.80, 63.29 and 34.19

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Solution

The fourth proportional to 45.80, 63.29 and 34.19 is: 47.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.80 : 63.29 = 34.19 : x
  2. Step 2: Convert to fraction form
    45.80/63.29 = 34.19/x
  3. Step 3: Cross multiply
    45.80x = 63.29 × 34.19
  4. Step 4: Simplify right side
    45.80x = 2,163.71
  5. Step 5: Solve for x
    x = 2,163.71/45.80
  6. Step 6: Final answer
    x = 47.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.