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Finding the Fourth Proportional to 35.26, 48.69 and 27.06

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Solution

The fourth proportional to 35.26, 48.69 and 27.06 is: 37.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.26 : 48.69 = 27.06 : x
  2. Step 2: Convert to fraction form
    35.26/48.69 = 27.06/x
  3. Step 3: Cross multiply
    35.26x = 48.69 × 27.06
  4. Step 4: Simplify right side
    35.26x = 1,317.17
  5. Step 5: Solve for x
    x = 1,317.17/35.26
  6. Step 6: Final answer
    x = 37.36

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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.