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Finding the Fourth Proportional to 42.50, 63.82 and 30.50

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Solution

The fourth proportional to 42.50, 63.82 and 30.50 is: 45.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.50 : 63.82 = 30.50 : x
  2. Step 2: Convert to fraction form
    42.50/63.82 = 30.50/x
  3. Step 3: Cross multiply
    42.50x = 63.82 × 30.50
  4. Step 4: Simplify right side
    42.50x = 1,946.51
  5. Step 5: Solve for x
    x = 1,946.51/42.50
  6. Step 6: Final answer
    x = 45.80

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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.