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Finding the Fourth Proportional to 5.49, 7.54 and 4.57

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Solution

The fourth proportional to 5.49, 7.54 and 4.57 is: 6.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.49 : 7.54 = 4.57 : x
  2. Step 2: Convert to fraction form
    5.49/7.54 = 4.57/x
  3. Step 3: Cross multiply
    5.49x = 7.54 × 4.57
  4. Step 4: Simplify right side
    5.49x = 34.46
  5. Step 5: Solve for x
    x = 34.46/5.49
  6. Step 6: Final answer
    x = 6.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.