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Finding the Fourth Proportional to 160.30, 221.16 and 98.14

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Solution

The fourth proportional to 160.30, 221.16 and 98.14 is: 135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.30 : 221.16 = 98.14 : x
  2. Step 2: Convert to fraction form
    160.30/221.16 = 98.14/x
  3. Step 3: Cross multiply
    160.30x = 221.16 × 98.14
  4. Step 4: Simplify right side
    160.30x = 21,703.54
  5. Step 5: Solve for x
    x = 21,703.54/160.30
  6. Step 6: Final answer
    x = 135.40

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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.