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Finding the Fourth Proportional to 74.43, 102.67 and 53.68

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Solution

The fourth proportional to 74.43, 102.67 and 53.68 is: 74.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.43 : 102.67 = 53.68 : x
  2. Step 2: Convert to fraction form
    74.43/102.67 = 53.68/x
  3. Step 3: Cross multiply
    74.43x = 102.67 × 53.68
  4. Step 4: Simplify right side
    74.43x = 5,510.69
  5. Step 5: Solve for x
    x = 5,510.69/74.43
  6. Step 6: Final answer
    x = 74.04

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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.