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Finding the Fourth Proportional to 51.72, 71.26 and 49.05

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Solution

The fourth proportional to 51.72, 71.26 and 49.05 is: 67.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.72 : 71.26 = 49.05 : x
  2. Step 2: Convert to fraction form
    51.72/71.26 = 49.05/x
  3. Step 3: Cross multiply
    51.72x = 71.26 × 49.05
  4. Step 4: Simplify right side
    51.72x = 3,495.30
  5. Step 5: Solve for x
    x = 3,495.30/51.72
  6. Step 6: Final answer
    x = 67.58

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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.