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Finding the Fourth Proportional to 27.00, 37.24 and 16.07

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Solution

The fourth proportional to 27.00, 37.24 and 16.07 is: 22.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.00 : 37.24 = 16.07 : x
  2. Step 2: Convert to fraction form
    27.00/37.24 = 16.07/x
  3. Step 3: Cross multiply
    27.00x = 37.24 × 16.07
  4. Step 4: Simplify right side
    27.00x = 598.26
  5. Step 5: Solve for x
    x = 598.26/27.00
  6. Step 6: Final answer
    x = 22.16

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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.