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Finding the Fourth Proportional to 160.07, 239.87 and 78.89

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Solution

The fourth proportional to 160.07, 239.87 and 78.89 is: 118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.07 : 239.87 = 78.89 : x
  2. Step 2: Convert to fraction form
    160.07/239.87 = 78.89/x
  3. Step 3: Cross multiply
    160.07x = 239.87 × 78.89
  4. Step 4: Simplify right side
    160.07x = 18,922.34
  5. Step 5: Solve for x
    x = 18,922.34/160.07
  6. Step 6: Final answer
    x = 118.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.