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Finding the Fourth Proportional to 51.05, 76.16 and 43.36

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Solution

The fourth proportional to 51.05, 76.16 and 43.36 is: 64.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.05 : 76.16 = 43.36 : x
  2. Step 2: Convert to fraction form
    51.05/76.16 = 43.36/x
  3. Step 3: Cross multiply
    51.05x = 76.16 × 43.36
  4. Step 4: Simplify right side
    51.05x = 3,302.22
  5. Step 5: Solve for x
    x = 3,302.22/51.05
  6. Step 6: Final answer
    x = 64.68

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