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Finding the Fourth Proportional to 74.72, 112.07 and 23.36

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Solution

The fourth proportional to 74.72, 112.07 and 23.36 is: 35.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.72 : 112.07 = 23.36 : x
  2. Step 2: Convert to fraction form
    74.72/112.07 = 23.36/x
  3. Step 3: Cross multiply
    74.72x = 112.07 × 23.36
  4. Step 4: Simplify right side
    74.72x = 2,617.96
  5. Step 5: Solve for x
    x = 2,617.96/74.72
  6. Step 6: Final answer
    x = 35.04

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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.