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Finding the Fourth Proportional to 63.34, 94.80 and 49.66

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Solution

The fourth proportional to 63.34, 94.80 and 49.66 is: 74.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.34 : 94.80 = 49.66 : x
  2. Step 2: Convert to fraction form
    63.34/94.80 = 49.66/x
  3. Step 3: Cross multiply
    63.34x = 94.80 × 49.66
  4. Step 4: Simplify right side
    63.34x = 4,707.77
  5. Step 5: Solve for x
    x = 4,707.77/63.34
  6. Step 6: Final answer
    x = 74.33

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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.