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Finding the Fourth Proportional to 103.63, 155.51 and 46.63

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Solution

The fourth proportional to 103.63, 155.51 and 46.63 is: 69.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.63 : 155.51 = 46.63 : x
  2. Step 2: Convert to fraction form
    103.63/155.51 = 46.63/x
  3. Step 3: Cross multiply
    103.63x = 155.51 × 46.63
  4. Step 4: Simplify right side
    103.63x = 7,250.42
  5. Step 5: Solve for x
    x = 7,250.42/103.63
  6. Step 6: Final answer
    x = 69.97

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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.