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Finding the Fourth Proportional to 27.29, 37.65 and 15.00

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Solution

The fourth proportional to 27.29, 37.65 and 15.00 is: 20.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.29 : 37.65 = 15.00 : x
  2. Step 2: Convert to fraction form
    27.29/37.65 = 15.00/x
  3. Step 3: Cross multiply
    27.29x = 37.65 × 15.00
  4. Step 4: Simplify right side
    27.29x = 564.89
  5. Step 5: Solve for x
    x = 564.89/27.29
  6. Step 6: Final answer
    x = 20.70

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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.