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Finding the Fourth Proportional to 5.57, 7.70 and 4.22

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Solution

The fourth proportional to 5.57, 7.70 and 4.22 is: 5.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.57 : 7.70 = 4.22 : x
  2. Step 2: Convert to fraction form
    5.57/7.70 = 4.22/x
  3. Step 3: Cross multiply
    5.57x = 7.70 × 4.22
  4. Step 4: Simplify right side
    5.57x = 32.47
  5. Step 5: Solve for x
    x = 32.47/5.57
  6. Step 6: Final answer
    x = 5.83

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Why These Related Problems?

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