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Finding the Fourth Proportional to 78.94, 118.46 and 35.60

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Solution

The fourth proportional to 78.94, 118.46 and 35.60 is: 53.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.94 : 118.46 = 35.60 : x
  2. Step 2: Convert to fraction form
    78.94/118.46 = 35.60/x
  3. Step 3: Cross multiply
    78.94x = 118.46 × 35.60
  4. Step 4: Simplify right side
    78.94x = 4,217.18
  5. Step 5: Solve for x
    x = 4,217.18/78.94
  6. Step 6: Final answer
    x = 53.42

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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.