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Finding the Fourth Proportional to 5.06, 7.56 and 4.21

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Solution

The fourth proportional to 5.06, 7.56 and 4.21 is: 6.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.06 : 7.56 = 4.21 : x
  2. Step 2: Convert to fraction form
    5.06/7.56 = 4.21/x
  3. Step 3: Cross multiply
    5.06x = 7.56 × 4.21
  4. Step 4: Simplify right side
    5.06x = 31.81
  5. Step 5: Solve for x
    x = 31.81/5.06
  6. Step 6: Final answer
    x = 6.28

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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.