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Finding the Fourth Proportional to 40.08, 55.17 and 33.16

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Solution

The fourth proportional to 40.08, 55.17 and 33.16 is: 45.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.08 : 55.17 = 33.16 : x
  2. Step 2: Convert to fraction form
    40.08/55.17 = 33.16/x
  3. Step 3: Cross multiply
    40.08x = 55.17 × 33.16
  4. Step 4: Simplify right side
    40.08x = 1,829.44
  5. Step 5: Solve for x
    x = 1,829.44/40.08
  6. Step 6: Final answer
    x = 45.64

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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.