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Finding the Fourth Proportional to 46.89, 70.27 and 21.20

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Solution

The fourth proportional to 46.89, 70.27 and 21.20 is: 31.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.89 : 70.27 = 21.20 : x
  2. Step 2: Convert to fraction form
    46.89/70.27 = 21.20/x
  3. Step 3: Cross multiply
    46.89x = 70.27 × 21.20
  4. Step 4: Simplify right side
    46.89x = 1,489.32
  5. Step 5: Solve for x
    x = 1,489.32/46.89
  6. Step 6: Final answer
    x = 31.76

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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.