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Finding the Fourth Proportional to 5.93, 7.83 and 5.93

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Solution

The fourth proportional to 5.93, 7.83 and 5.93 is: 7.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.93 : 7.83 = 5.93 : x
  2. Step 2: Convert to fraction form
    5.93/7.83 = 5.93/x
  3. Step 3: Cross multiply
    5.93x = 7.83 × 5.93
  4. Step 4: Simplify right side
    5.93x = 46.43
  5. Step 5: Solve for x
    x = 46.43/5.93
  6. Step 6: Final answer
    x = 7.83

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.