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Finding the Fourth Proportional to 74.81, 102.56 and 73.44

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Solution

The fourth proportional to 74.81, 102.56 and 73.44 is: 100.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.81 : 102.56 = 73.44 : x
  2. Step 2: Convert to fraction form
    74.81/102.56 = 73.44/x
  3. Step 3: Cross multiply
    74.81x = 102.56 × 73.44
  4. Step 4: Simplify right side
    74.81x = 7,532.01
  5. Step 5: Solve for x
    x = 7,532.01/74.81
  6. Step 6: Final answer
    x = 100.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.