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Finding the Fourth Proportional to 51.83, 78.14 and 46.93

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Solution

The fourth proportional to 51.83, 78.14 and 46.93 is: 70.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.83 : 78.14 = 46.93 : x
  2. Step 2: Convert to fraction form
    51.83/78.14 = 46.93/x
  3. Step 3: Cross multiply
    51.83x = 78.14 × 46.93
  4. Step 4: Simplify right side
    51.83x = 3,667.05
  5. Step 5: Solve for x
    x = 3,667.05/51.83
  6. Step 6: Final answer
    x = 70.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.