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Finding the Fourth Proportional to 62.82, 94.18 and 49.35

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Solution

The fourth proportional to 62.82, 94.18 and 49.35 is: 73.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.82 : 94.18 = 49.35 : x
  2. Step 2: Convert to fraction form
    62.82/94.18 = 49.35/x
  3. Step 3: Cross multiply
    62.82x = 94.18 × 49.35
  4. Step 4: Simplify right side
    62.82x = 4,648.01
  5. Step 5: Solve for x
    x = 4,648.01/62.82
  6. Step 6: Final answer
    x = 73.99

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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.