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Finding the Fourth Proportional to 31.05, 42.74 and 23.25

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Solution

The fourth proportional to 31.05, 42.74 and 23.25 is: 32.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.05 : 42.74 = 23.25 : x
  2. Step 2: Convert to fraction form
    31.05/42.74 = 23.25/x
  3. Step 3: Cross multiply
    31.05x = 42.74 × 23.25
  4. Step 4: Simplify right side
    31.05x = 993.71
  5. Step 5: Solve for x
    x = 993.71/31.05
  6. Step 6: Final answer
    x = 32.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.