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Finding the Fourth Proportional to 2.06, 3.07 and 1.55

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Solution

The fourth proportional to 2.06, 3.07 and 1.55 is: 2.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.06 : 3.07 = 1.55 : x
  2. Step 2: Convert to fraction form
    2.06/3.07 = 1.55/x
  3. Step 3: Cross multiply
    2.06x = 3.07 × 1.55
  4. Step 4: Simplify right side
    2.06x = 4.76
  5. Step 5: Solve for x
    x = 4.76/2.06
  6. Step 6: Final answer
    x = 2.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.