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Finding the Fourth Proportional to 46.85, 64.67 and 41.99

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Solution

The fourth proportional to 46.85, 64.67 and 41.99 is: 57.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.85 : 64.67 = 41.99 : x
  2. Step 2: Convert to fraction form
    46.85/64.67 = 41.99/x
  3. Step 3: Cross multiply
    46.85x = 64.67 × 41.99
  4. Step 4: Simplify right side
    46.85x = 2,714.96
  5. Step 5: Solve for x
    x = 2,714.96/46.85
  6. Step 6: Final answer
    x = 57.96

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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.