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Finding the Fourth Proportional to 160.49, 221.47 and 90.54

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Solution

The fourth proportional to 160.49, 221.47 and 90.54 is: 124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.49 : 221.47 = 90.54 : x
  2. Step 2: Convert to fraction form
    160.49/221.47 = 90.54/x
  3. Step 3: Cross multiply
    160.49x = 221.47 × 90.54
  4. Step 4: Simplify right side
    160.49x = 20,051.89
  5. Step 5: Solve for x
    x = 20,051.89/160.49
  6. Step 6: Final answer
    x = 124.95

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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.