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Finding the Fourth Proportional to 160.35, 221.27 and 105.00

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Solution

The fourth proportional to 160.35, 221.27 and 105.00 is: 144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.35 : 221.27 = 105.00 : x
  2. Step 2: Convert to fraction form
    160.35/221.27 = 105.00/x
  3. Step 3: Cross multiply
    160.35x = 221.27 × 105.00
  4. Step 4: Simplify right side
    160.35x = 23,232.27
  5. Step 5: Solve for x
    x = 23,232.27/160.35
  6. Step 6: Final answer
    x = 144.89

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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.