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Finding the Fourth Proportional to 6.23, 8.57 and 5.02

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Solution

The fourth proportional to 6.23, 8.57 and 5.02 is: 6.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.23 : 8.57 = 5.02 : x
  2. Step 2: Convert to fraction form
    6.23/8.57 = 5.02/x
  3. Step 3: Cross multiply
    6.23x = 8.57 × 5.02
  4. Step 4: Simplify right side
    6.23x = 43.01
  5. Step 5: Solve for x
    x = 43.01/6.23
  6. Step 6: Final answer
    x = 6.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.