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Finding the Fourth Proportional to 160.56, 241.01 and 79.47

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Solution

The fourth proportional to 160.56, 241.01 and 79.47 is: 119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.56 : 241.01 = 79.47 : x
  2. Step 2: Convert to fraction form
    160.56/241.01 = 79.47/x
  3. Step 3: Cross multiply
    160.56x = 241.01 × 79.47
  4. Step 4: Simplify right side
    160.56x = 19,152.67
  5. Step 5: Solve for x
    x = 19,152.67/160.56
  6. Step 6: Final answer
    x = 119.29

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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.