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Finding the Fourth Proportional to 5.06, 7.57 and 4.06

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Solution

The fourth proportional to 5.06, 7.57 and 4.06 is: 6.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.06 : 7.57 = 4.06 : x
  2. Step 2: Convert to fraction form
    5.06/7.57 = 4.06/x
  3. Step 3: Cross multiply
    5.06x = 7.57 × 4.06
  4. Step 4: Simplify right side
    5.06x = 30.73
  5. Step 5: Solve for x
    x = 30.73/5.06
  6. Step 6: Final answer
    x = 6.07

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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.