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Finding the Fourth Proportional to 5, 7.54 and 4.73

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Solution

The fourth proportional to 5, 7.54 and 4.73 is: 7.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5 : 7.54 = 4.73 : x
  2. Step 2: Convert to fraction form
    5/7.54 = 4.73/x
  3. Step 3: Cross multiply
    5x = 7.54 × 4.73
  4. Step 4: Simplify right side
    5x = 35.66
  5. Step 5: Solve for x
    x = 35.66/5
  6. Step 6: Final answer
    x = 7.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.