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Finding the Fourth Proportional to 74.78, 112.19 and 47.72

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Solution

The fourth proportional to 74.78, 112.19 and 47.72 is: 71.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.78 : 112.19 = 47.72 : x
  2. Step 2: Convert to fraction form
    74.78/112.19 = 47.72/x
  3. Step 3: Cross multiply
    74.78x = 112.19 × 47.72
  4. Step 4: Simplify right side
    74.78x = 5,352.91
  5. Step 5: Solve for x
    x = 5,352.91/74.78
  6. Step 6: Final answer
    x = 71.59

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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.