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Finding the Fourth Proportional to 74.94, 111.72 and 74.68

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Solution

The fourth proportional to 74.94, 111.72 and 74.68 is: 111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.94 : 111.72 = 74.68 : x
  2. Step 2: Convert to fraction form
    74.94/111.72 = 74.68/x
  3. Step 3: Cross multiply
    74.94x = 111.72 × 74.68
  4. Step 4: Simplify right side
    74.94x = 8,343.25
  5. Step 5: Solve for x
    x = 8,343.25/74.94
  6. Step 6: Final answer
    x = 111.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.