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Finding the Fourth Proportional to 31.99, 48.00 and 11.72

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Solution

The fourth proportional to 31.99, 48.00 and 11.72 is: 17.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.99 : 48.00 = 11.72 : x
  2. Step 2: Convert to fraction form
    31.99/48.00 = 11.72/x
  3. Step 3: Cross multiply
    31.99x = 48.00 × 11.72
  4. Step 4: Simplify right side
    31.99x = 562.36
  5. Step 5: Solve for x
    x = 562.36/31.99
  6. Step 6: Final answer
    x = 17.58

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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.