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Finding the Fourth Proportional to 5.74, 8.61 and 5.70

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Solution

The fourth proportional to 5.74, 8.61 and 5.70 is: 8.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.74 : 8.61 = 5.70 : x
  2. Step 2: Convert to fraction form
    5.74/8.61 = 5.70/x
  3. Step 3: Cross multiply
    5.74x = 8.61 × 5.70
  4. Step 4: Simplify right side
    5.74x = 49.09
  5. Step 5: Solve for x
    x = 49.09/5.74
  6. Step 6: Final answer
    x = 8.56

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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.