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Finding the Fourth Proportional to 5.09, 7.02 and 4.07

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Solution

The fourth proportional to 5.09, 7.02 and 4.07 is: 5.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.09 : 7.02 = 4.07 : x
  2. Step 2: Convert to fraction form
    5.09/7.02 = 4.07/x
  3. Step 3: Cross multiply
    5.09x = 7.02 × 4.07
  4. Step 4: Simplify right side
    5.09x = 28.57
  5. Step 5: Solve for x
    x = 28.57/5.09
  6. Step 6: Final answer
    x = 5.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.