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Finding the Fourth Proportional to 62.83, 93.88 and 49.96

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Solution

The fourth proportional to 62.83, 93.88 and 49.96 is: 74.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.83 : 93.88 = 49.96 : x
  2. Step 2: Convert to fraction form
    62.83/93.88 = 49.96/x
  3. Step 3: Cross multiply
    62.83x = 93.88 × 49.96
  4. Step 4: Simplify right side
    62.83x = 4,690.24
  5. Step 5: Solve for x
    x = 4,690.24/62.83
  6. Step 6: Final answer
    x = 74.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.