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Finding the Fourth Proportional to 46.63, 64.43 and 35.77

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Solution

The fourth proportional to 46.63, 64.43 and 35.77 is: 49.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.63 : 64.43 = 35.77 : x
  2. Step 2: Convert to fraction form
    46.63/64.43 = 35.77/x
  3. Step 3: Cross multiply
    46.63x = 64.43 × 35.77
  4. Step 4: Simplify right side
    46.63x = 2,304.66
  5. Step 5: Solve for x
    x = 2,304.66/46.63
  6. Step 6: Final answer
    x = 49.42

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Why These Related Problems?

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