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Finding the Fourth Proportional to 31.50, 47.16 and 20.65

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Solution

The fourth proportional to 31.50, 47.16 and 20.65 is: 30.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.50 : 47.16 = 20.65 : x
  2. Step 2: Convert to fraction form
    31.50/47.16 = 20.65/x
  3. Step 3: Cross multiply
    31.50x = 47.16 × 20.65
  4. Step 4: Simplify right side
    31.50x = 973.58
  5. Step 5: Solve for x
    x = 973.58/31.50
  6. Step 6: Final answer
    x = 30.90

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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.