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Finding the Fourth Proportional to 5.23, 7.85 and 4.57

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Solution

The fourth proportional to 5.23, 7.85 and 4.57 is: 6.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.23 : 7.85 = 4.57 : x
  2. Step 2: Convert to fraction form
    5.23/7.85 = 4.57/x
  3. Step 3: Cross multiply
    5.23x = 7.85 × 4.57
  4. Step 4: Simplify right side
    5.23x = 35.87
  5. Step 5: Solve for x
    x = 35.87/5.23
  6. Step 6: Final answer
    x = 6.86

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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.