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Finding the Fourth Proportional to 160.86, 222.07 and 114.33

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Solution

The fourth proportional to 160.86, 222.07 and 114.33 is: 157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.86 : 222.07 = 114.33 : x
  2. Step 2: Convert to fraction form
    160.86/222.07 = 114.33/x
  3. Step 3: Cross multiply
    160.86x = 222.07 × 114.33
  4. Step 4: Simplify right side
    160.86x = 25,390.02
  5. Step 5: Solve for x
    x = 25,390.02/160.86
  6. Step 6: Final answer
    x = 157.84

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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.