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Finding the Fourth Proportional to 29.77, 40.97 and 27

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Solution

The fourth proportional to 29.77, 40.97 and 27 is: 37.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.77 : 40.97 = 27 : x
  2. Step 2: Convert to fraction form
    29.77/40.97 = 27/x
  3. Step 3: Cross multiply
    29.77x = 40.97 × 27
  4. Step 4: Simplify right side
    29.77x = 1,106.26
  5. Step 5: Solve for x
    x = 1,106.26/29.77
  6. Step 6: Final answer
    x = 37.16

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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.