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Finding the Fourth Proportional to 4.09, 5.60 and 4.02

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Solution

The fourth proportional to 4.09, 5.60 and 4.02 is: 5.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.09 : 5.60 = 4.02 : x
  2. Step 2: Convert to fraction form
    4.09/5.60 = 4.02/x
  3. Step 3: Cross multiply
    4.09x = 5.60 × 4.02
  4. Step 4: Simplify right side
    4.09x = 22.51
  5. Step 5: Solve for x
    x = 22.51/4.09
  6. Step 6: Final answer
    x = 5.50

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