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Finding the Fourth Proportional to 51.98, 71.69 and 43.25

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Solution

The fourth proportional to 51.98, 71.69 and 43.25 is: 59.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.98 : 71.69 = 43.25 : x
  2. Step 2: Convert to fraction form
    51.98/71.69 = 43.25/x
  3. Step 3: Cross multiply
    51.98x = 71.69 × 43.25
  4. Step 4: Simplify right side
    51.98x = 3,100.02
  5. Step 5: Solve for x
    x = 3,100.02/51.98
  6. Step 6: Final answer
    x = 59.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.