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Finding the Fourth Proportional to 62.74, 93.98 and 49.15

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Solution

The fourth proportional to 62.74, 93.98 and 49.15 is: 73.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.74 : 93.98 = 49.15 : x
  2. Step 2: Convert to fraction form
    62.74/93.98 = 49.15/x
  3. Step 3: Cross multiply
    62.74x = 93.98 × 49.15
  4. Step 4: Simplify right side
    62.74x = 4,619.00
  5. Step 5: Solve for x
    x = 4,619.00/62.74
  6. Step 6: Final answer
    x = 73.62

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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.