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Finding the Fourth Proportional to 46.23, 63.80 and 33.95

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Solution

The fourth proportional to 46.23, 63.80 and 33.95 is: 46.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.23 : 63.80 = 33.95 : x
  2. Step 2: Convert to fraction form
    46.23/63.80 = 33.95/x
  3. Step 3: Cross multiply
    46.23x = 63.80 × 33.95
  4. Step 4: Simplify right side
    46.23x = 2,166.21
  5. Step 5: Solve for x
    x = 2,166.21/46.23
  6. Step 6: Final answer
    x = 46.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.