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Finding the Fourth Proportional to 74.72, 112.09 and 67.46

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Solution

The fourth proportional to 74.72, 112.09 and 67.46 is: 101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.72 : 112.09 = 67.46 : x
  2. Step 2: Convert to fraction form
    74.72/112.09 = 67.46/x
  3. Step 3: Cross multiply
    74.72x = 112.09 × 67.46
  4. Step 4: Simplify right side
    74.72x = 7,561.59
  5. Step 5: Solve for x
    x = 7,561.59/74.72
  6. Step 6: Final answer
    x = 101.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.