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Finding the Fourth Proportional to 51.47, 77.19 and 45.77

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Solution

The fourth proportional to 51.47, 77.19 and 45.77 is: 68.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.47 : 77.19 = 45.77 : x
  2. Step 2: Convert to fraction form
    51.47/77.19 = 45.77/x
  3. Step 3: Cross multiply
    51.47x = 77.19 × 45.77
  4. Step 4: Simplify right side
    51.47x = 3,532.99
  5. Step 5: Solve for x
    x = 3,532.99/51.47
  6. Step 6: Final answer
    x = 68.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.