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Finding the Fourth Proportional to 31.98, 47.91 and 19.77

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Solution

The fourth proportional to 31.98, 47.91 and 19.77 is: 29.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.98 : 47.91 = 19.77 : x
  2. Step 2: Convert to fraction form
    31.98/47.91 = 19.77/x
  3. Step 3: Cross multiply
    31.98x = 47.91 × 19.77
  4. Step 4: Simplify right side
    31.98x = 947.18
  5. Step 5: Solve for x
    x = 947.18/31.98
  6. Step 6: Final answer
    x = 29.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.