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Finding the Fourth Proportional to 46.00, 68.61 and 38.82

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Solution

The fourth proportional to 46.00, 68.61 and 38.82 is: 57.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.00 : 68.61 = 38.82 : x
  2. Step 2: Convert to fraction form
    46.00/68.61 = 38.82/x
  3. Step 3: Cross multiply
    46.00x = 68.61 × 38.82
  4. Step 4: Simplify right side
    46.00x = 2,663.44
  5. Step 5: Solve for x
    x = 2,663.44/46.00
  6. Step 6: Final answer
    x = 57.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.