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Finding the Fourth Proportional to 52.68, 78.79 and 46.02

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Solution

The fourth proportional to 52.68, 78.79 and 46.02 is: 68.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.68 : 78.79 = 46.02 : x
  2. Step 2: Convert to fraction form
    52.68/78.79 = 46.02/x
  3. Step 3: Cross multiply
    52.68x = 78.79 × 46.02
  4. Step 4: Simplify right side
    52.68x = 3,625.92
  5. Step 5: Solve for x
    x = 3,625.92/52.68
  6. Step 6: Final answer
    x = 68.83

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Why These Related Problems?

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