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Finding the Fourth Proportional to 160.78, 241.14 and 52.54

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Solution

The fourth proportional to 160.78, 241.14 and 52.54 is: 78.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.78 : 241.14 = 52.54 : x
  2. Step 2: Convert to fraction form
    160.78/241.14 = 52.54/x
  3. Step 3: Cross multiply
    160.78x = 241.14 × 52.54
  4. Step 4: Simplify right side
    160.78x = 12,669.50
  5. Step 5: Solve for x
    x = 12,669.50/160.78
  6. Step 6: Final answer
    x = 78.80

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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.