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Finding the Fourth Proportional to 3.06, 4.23 and 1.70

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Solution

The fourth proportional to 3.06, 4.23 and 1.70 is: 2.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.06 : 4.23 = 1.70 : x
  2. Step 2: Convert to fraction form
    3.06/4.23 = 1.70/x
  3. Step 3: Cross multiply
    3.06x = 4.23 × 1.70
  4. Step 4: Simplify right side
    3.06x = 7.17
  5. Step 5: Solve for x
    x = 7.17/3.06
  6. Step 6: Final answer
    x = 2.34

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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.