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Finding the Fourth Proportional to 63.35, 94.85 and 46.14

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Solution

The fourth proportional to 63.35, 94.85 and 46.14 is: 69.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.35 : 94.85 = 46.14 : x
  2. Step 2: Convert to fraction form
    63.35/94.85 = 46.14/x
  3. Step 3: Cross multiply
    63.35x = 94.85 × 46.14
  4. Step 4: Simplify right side
    63.35x = 4,376.38
  5. Step 5: Solve for x
    x = 4,376.38/63.35
  6. Step 6: Final answer
    x = 69.08

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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.