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Finding the Fourth Proportional to 45.82, 63.20 and 31.05

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Solution

The fourth proportional to 45.82, 63.20 and 31.05 is: 42.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.82 : 63.20 = 31.05 : x
  2. Step 2: Convert to fraction form
    45.82/63.20 = 31.05/x
  3. Step 3: Cross multiply
    45.82x = 63.20 × 31.05
  4. Step 4: Simplify right side
    45.82x = 1,962.36
  5. Step 5: Solve for x
    x = 1,962.36/45.82
  6. Step 6: Final answer
    x = 42.83

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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.