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Finding the Fourth Proportional to 40.21, 55.46 and 32

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Solution

The fourth proportional to 40.21, 55.46 and 32 is: 44.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.21 : 55.46 = 32 : x
  2. Step 2: Convert to fraction form
    40.21/55.46 = 32/x
  3. Step 3: Cross multiply
    40.21x = 55.46 × 32
  4. Step 4: Simplify right side
    40.21x = 1,774.56
  5. Step 5: Solve for x
    x = 1,774.56/40.21
  6. Step 6: Final answer
    x = 44.14

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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.