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Finding the Fourth Proportional to 31.56, 47.26 and 23.02

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Solution

The fourth proportional to 31.56, 47.26 and 23.02 is: 34.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.56 : 47.26 = 23.02 : x
  2. Step 2: Convert to fraction form
    31.56/47.26 = 23.02/x
  3. Step 3: Cross multiply
    31.56x = 47.26 × 23.02
  4. Step 4: Simplify right side
    31.56x = 1,087.93
  5. Step 5: Solve for x
    x = 1,087.93/31.56
  6. Step 6: Final answer
    x = 34.47

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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.