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Finding the Fourth Proportional to 160.64, 241.00 and 50.94

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Solution

The fourth proportional to 160.64, 241.00 and 50.94 is: 76.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.64 : 241.00 = 50.94 : x
  2. Step 2: Convert to fraction form
    160.64/241.00 = 50.94/x
  3. Step 3: Cross multiply
    160.64x = 241.00 × 50.94
  4. Step 4: Simplify right side
    160.64x = 12,276.41
  5. Step 5: Solve for x
    x = 12,276.41/160.64
  6. Step 6: Final answer
    x = 76.42

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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.