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Finding the Fourth Proportional to 104.66, 156.83 and 46.82

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Solution

The fourth proportional to 104.66, 156.83 and 46.82 is: 70.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.66 : 156.83 = 46.82 : x
  2. Step 2: Convert to fraction form
    104.66/156.83 = 46.82/x
  3. Step 3: Cross multiply
    104.66x = 156.83 × 46.82
  4. Step 4: Simplify right side
    104.66x = 7,342.78
  5. Step 5: Solve for x
    x = 7,342.78/104.66
  6. Step 6: Final answer
    x = 70.16

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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.