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Finding the Fourth Proportional to 160.48, 221.36 and 97.48

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Solution

The fourth proportional to 160.48, 221.36 and 97.48 is: 134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.48 : 221.36 = 97.48 : x
  2. Step 2: Convert to fraction form
    160.48/221.36 = 97.48/x
  3. Step 3: Cross multiply
    160.48x = 221.36 × 97.48
  4. Step 4: Simplify right side
    160.48x = 21,578.17
  5. Step 5: Solve for x
    x = 21,578.17/160.48
  6. Step 6: Final answer
    x = 134.46

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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.