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Finding the Fourth Proportional to 78.63, 117.83 and 35.25

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Solution

The fourth proportional to 78.63, 117.83 and 35.25 is: 52.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.63 : 117.83 = 35.25 : x
  2. Step 2: Convert to fraction form
    78.63/117.83 = 35.25/x
  3. Step 3: Cross multiply
    78.63x = 117.83 × 35.25
  4. Step 4: Simplify right side
    78.63x = 4,153.33
  5. Step 5: Solve for x
    x = 4,153.33/78.63
  6. Step 6: Final answer
    x = 52.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.