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Finding the Fourth Proportional to 74.67, 112.00 and 23.30

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Solution

The fourth proportional to 74.67, 112.00 and 23.30 is: 34.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.67 : 112.00 = 23.30 : x
  2. Step 2: Convert to fraction form
    74.67/112.00 = 23.30/x
  3. Step 3: Cross multiply
    74.67x = 112.00 × 23.30
  4. Step 4: Simplify right side
    74.67x = 2,610.08
  5. Step 5: Solve for x
    x = 2,610.08/74.67
  6. Step 6: Final answer
    x = 34.95

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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.