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Finding the Fourth Proportional to 51.98, 77.60 and 45.54

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Solution

The fourth proportional to 51.98, 77.60 and 45.54 is: 67.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.98 : 77.60 = 45.54 : x
  2. Step 2: Convert to fraction form
    51.98/77.60 = 45.54/x
  3. Step 3: Cross multiply
    51.98x = 77.60 × 45.54
  4. Step 4: Simplify right side
    51.98x = 3,534.02
  5. Step 5: Solve for x
    x = 3,534.02/51.98
  6. Step 6: Final answer
    x = 67.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.