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Finding the Fourth Proportional to 160.40, 221.24 and 105.20

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Solution

The fourth proportional to 160.40, 221.24 and 105.20 is: 145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.40 : 221.24 = 105.20 : x
  2. Step 2: Convert to fraction form
    160.40/221.24 = 105.20/x
  3. Step 3: Cross multiply
    160.40x = 221.24 × 105.20
  4. Step 4: Simplify right side
    160.40x = 23,274.45
  5. Step 5: Solve for x
    x = 23,274.45/160.40
  6. Step 6: Final answer
    x = 145.10

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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.