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Finding the Fourth Proportional to 66.81, 100.29 and 49.65

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Solution

The fourth proportional to 66.81, 100.29 and 49.65 is: 74.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.81 : 100.29 = 49.65 : x
  2. Step 2: Convert to fraction form
    66.81/100.29 = 49.65/x
  3. Step 3: Cross multiply
    66.81x = 100.29 × 49.65
  4. Step 4: Simplify right side
    66.81x = 4,979.40
  5. Step 5: Solve for x
    x = 4,979.40/66.81
  6. Step 6: Final answer
    x = 74.53

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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.