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Finding the Fourth Proportional to 74.85, 112.23 and 31.48

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Solution

The fourth proportional to 74.85, 112.23 and 31.48 is: 47.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.85 : 112.23 = 31.48 : x
  2. Step 2: Convert to fraction form
    74.85/112.23 = 31.48/x
  3. Step 3: Cross multiply
    74.85x = 112.23 × 31.48
  4. Step 4: Simplify right side
    74.85x = 3,533.00
  5. Step 5: Solve for x
    x = 3,533.00/74.85
  6. Step 6: Final answer
    x = 47.20

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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.