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Finding the Fourth Proportional to 31.36, 47.08 and 15.36

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Solution

The fourth proportional to 31.36, 47.08 and 15.36 is: 23.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.36 : 47.08 = 15.36 : x
  2. Step 2: Convert to fraction form
    31.36/47.08 = 15.36/x
  3. Step 3: Cross multiply
    31.36x = 47.08 × 15.36
  4. Step 4: Simplify right side
    31.36x = 723.15
  5. Step 5: Solve for x
    x = 723.15/31.36
  6. Step 6: Final answer
    x = 23.06

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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.