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Finding the Fourth Proportional to 66.65, 92.06 and 49.19

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Solution

The fourth proportional to 66.65, 92.06 and 49.19 is: 67.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.65 : 92.06 = 49.19 : x
  2. Step 2: Convert to fraction form
    66.65/92.06 = 49.19/x
  3. Step 3: Cross multiply
    66.65x = 92.06 × 49.19
  4. Step 4: Simplify right side
    66.65x = 4,527.73
  5. Step 5: Solve for x
    x = 4,527.73/66.65
  6. Step 6: Final answer
    x = 67.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.