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Finding the Fourth Proportional to 27.36, 37.76 and 17.64

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Solution

The fourth proportional to 27.36, 37.76 and 17.64 is: 24.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.36 : 37.76 = 17.64 : x
  2. Step 2: Convert to fraction form
    27.36/37.76 = 17.64/x
  3. Step 3: Cross multiply
    27.36x = 37.76 × 17.64
  4. Step 4: Simplify right side
    27.36x = 666.00
  5. Step 5: Solve for x
    x = 666.00/27.36
  6. Step 6: Final answer
    x = 24.34

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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.