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Finding the Fourth Proportional to 40.47, 60.67 and 27.64

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Solution

The fourth proportional to 40.47, 60.67 and 27.64 is: 41.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.47 : 60.67 = 27.64 : x
  2. Step 2: Convert to fraction form
    40.47/60.67 = 27.64/x
  3. Step 3: Cross multiply
    40.47x = 60.67 × 27.64
  4. Step 4: Simplify right side
    40.47x = 1,677.11
  5. Step 5: Solve for x
    x = 1,677.11/40.47
  6. Step 6: Final answer
    x = 41.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.