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Finding the Fourth Proportional to 160.19, 221.06 and 105.02

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Solution

The fourth proportional to 160.19, 221.06 and 105.02 is: 144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.19 : 221.06 = 105.02 : x
  2. Step 2: Convert to fraction form
    160.19/221.06 = 105.02/x
  3. Step 3: Cross multiply
    160.19x = 221.06 × 105.02
  4. Step 4: Simplify right side
    160.19x = 23,215.72
  5. Step 5: Solve for x
    x = 23,215.72/160.19
  6. Step 6: Final answer
    x = 144.93

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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.