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Finding the Fourth Proportional to 47.06, 70.52 and 19.98

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Solution

The fourth proportional to 47.06, 70.52 and 19.98 is: 29.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.06 : 70.52 = 19.98 : x
  2. Step 2: Convert to fraction form
    47.06/70.52 = 19.98/x
  3. Step 3: Cross multiply
    47.06x = 70.52 × 19.98
  4. Step 4: Simplify right side
    47.06x = 1,408.99
  5. Step 5: Solve for x
    x = 1,408.99/47.06
  6. Step 6: Final answer
    x = 29.94

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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.