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Finding the Fourth Proportional to 49.65, 68.98 and 49.00

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Solution

The fourth proportional to 49.65, 68.98 and 49.00 is: 68.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.65 : 68.98 = 49.00 : x
  2. Step 2: Convert to fraction form
    49.65/68.98 = 49.00/x
  3. Step 3: Cross multiply
    49.65x = 68.98 × 49.00
  4. Step 4: Simplify right side
    49.65x = 3,379.68
  5. Step 5: Solve for x
    x = 3,379.68/49.65
  6. Step 6: Final answer
    x = 68.08

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.