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Finding the Fourth Proportional to 31.34, 46.91 and 24.47

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Solution

The fourth proportional to 31.34, 46.91 and 24.47 is: 36.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.34 : 46.91 = 24.47 : x
  2. Step 2: Convert to fraction form
    31.34/46.91 = 24.47/x
  3. Step 3: Cross multiply
    31.34x = 46.91 × 24.47
  4. Step 4: Simplify right side
    31.34x = 1,148.07
  5. Step 5: Solve for x
    x = 1,148.07/31.34
  6. Step 6: Final answer
    x = 36.64

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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.