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Finding the Fourth Proportional to 51.86, 71.08 and 51.77

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Solution

The fourth proportional to 51.86, 71.08 and 51.77 is: 70.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.86 : 71.08 = 51.77 : x
  2. Step 2: Convert to fraction form
    51.86/71.08 = 51.77/x
  3. Step 3: Cross multiply
    51.86x = 71.08 × 51.77
  4. Step 4: Simplify right side
    51.86x = 3,679.71
  5. Step 5: Solve for x
    x = 3,679.71/51.86
  6. Step 6: Final answer
    x = 70.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.