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Finding the Fourth Proportional to 31.07, 46.60 and 9.69

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Solution

The fourth proportional to 31.07, 46.60 and 9.69 is: 14.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.07 : 46.60 = 9.69 : x
  2. Step 2: Convert to fraction form
    31.07/46.60 = 9.69/x
  3. Step 3: Cross multiply
    31.07x = 46.60 × 9.69
  4. Step 4: Simplify right side
    31.07x = 451.55
  5. Step 5: Solve for x
    x = 451.55/31.07
  6. Step 6: Final answer
    x = 14.54

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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.