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Finding the Fourth Proportional to 160.47, 221.34 and 98.22

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Solution

The fourth proportional to 160.47, 221.34 and 98.22 is: 135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.47 : 221.34 = 98.22 : x
  2. Step 2: Convert to fraction form
    160.47/221.34 = 98.22/x
  3. Step 3: Cross multiply
    160.47x = 221.34 × 98.22
  4. Step 4: Simplify right side
    160.47x = 21,740.81
  5. Step 5: Solve for x
    x = 21,740.81/160.47
  6. Step 6: Final answer
    x = 135.48

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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.