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Finding the Fourth Proportional to 78.92, 118.42 and 35.60

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Solution

The fourth proportional to 78.92, 118.42 and 35.60 is: 53.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.92 : 118.42 = 35.60 : x
  2. Step 2: Convert to fraction form
    78.92/118.42 = 35.60/x
  3. Step 3: Cross multiply
    78.92x = 118.42 × 35.60
  4. Step 4: Simplify right side
    78.92x = 4,215.07
  5. Step 5: Solve for x
    x = 4,215.07/78.92
  6. Step 6: Final answer
    x = 53.41

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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.