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Finding the Fourth Proportional to 160.09, 220.93 and 94.59

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Solution

The fourth proportional to 160.09, 220.93 and 94.59 is: 130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.09 : 220.93 = 94.59 : x
  2. Step 2: Convert to fraction form
    160.09/220.93 = 94.59/x
  3. Step 3: Cross multiply
    160.09x = 220.93 × 94.59
  4. Step 4: Simplify right side
    160.09x = 20,897.53
  5. Step 5: Solve for x
    x = 20,897.53/160.09
  6. Step 6: Final answer
    x = 130.54

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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.