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Finding the Fourth Proportional to 62.84, 94.20 and 42.50

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Solution

The fourth proportional to 62.84, 94.20 and 42.50 is: 63.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.84 : 94.20 = 42.50 : x
  2. Step 2: Convert to fraction form
    62.84/94.20 = 42.50/x
  3. Step 3: Cross multiply
    62.84x = 94.20 × 42.50
  4. Step 4: Simplify right side
    62.84x = 4,003.03
  5. Step 5: Solve for x
    x = 4,003.03/62.84
  6. Step 6: Final answer
    x = 63.71

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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.