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Finding the Fourth Proportional to 51.97, 78.02 and 35.66

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Solution

The fourth proportional to 51.97, 78.02 and 35.66 is: 53.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.97 : 78.02 = 35.66 : x
  2. Step 2: Convert to fraction form
    51.97/78.02 = 35.66/x
  3. Step 3: Cross multiply
    51.97x = 78.02 × 35.66
  4. Step 4: Simplify right side
    51.97x = 2,782.19
  5. Step 5: Solve for x
    x = 2,782.19/51.97
  6. Step 6: Final answer
    x = 53.53

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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.