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Finding the Fourth Proportional to 46.63, 69.90 and 35.29

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Solution

The fourth proportional to 46.63, 69.90 and 35.29 is: 52.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.63 : 69.90 = 35.29 : x
  2. Step 2: Convert to fraction form
    46.63/69.90 = 35.29/x
  3. Step 3: Cross multiply
    46.63x = 69.90 × 35.29
  4. Step 4: Simplify right side
    46.63x = 2,466.77
  5. Step 5: Solve for x
    x = 2,466.77/46.63
  6. Step 6: Final answer
    x = 52.90

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Why These Related Problems?

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