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Finding the Fourth Proportional to 51.14, 75.86 and 51

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Solution

The fourth proportional to 51.14, 75.86 and 51 is: 75.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.14 : 75.86 = 51 : x
  2. Step 2: Convert to fraction form
    51.14/75.86 = 51/x
  3. Step 3: Cross multiply
    51.14x = 75.86 × 51
  4. Step 4: Simplify right side
    51.14x = 3,868.86
  5. Step 5: Solve for x
    x = 3,868.86/51.14
  6. Step 6: Final answer
    x = 75.65

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.