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Finding the Fourth Proportional to 160.83, 241.24 and 39.09

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Solution

The fourth proportional to 160.83, 241.24 and 39.09 is: 58.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.83 : 241.24 = 39.09 : x
  2. Step 2: Convert to fraction form
    160.83/241.24 = 39.09/x
  3. Step 3: Cross multiply
    160.83x = 241.24 × 39.09
  4. Step 4: Simplify right side
    160.83x = 9,430.25
  5. Step 5: Solve for x
    x = 9,430.25/160.83
  6. Step 6: Final answer
    x = 58.64

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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.