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Finding the Fourth Proportional to 78.66, 117.98 and 33.03

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Solution

The fourth proportional to 78.66, 117.98 and 33.03 is: 49.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.66 : 117.98 = 33.03 : x
  2. Step 2: Convert to fraction form
    78.66/117.98 = 33.03/x
  3. Step 3: Cross multiply
    78.66x = 117.98 × 33.03
  4. Step 4: Simplify right side
    78.66x = 3,896.88
  5. Step 5: Solve for x
    x = 3,896.88/78.66
  6. Step 6: Final answer
    x = 49.54

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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.