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Finding the Fourth Proportional to 35.86, 49.35 and 27.64

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Solution

The fourth proportional to 35.86, 49.35 and 27.64 is: 38.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.86 : 49.35 = 27.64 : x
  2. Step 2: Convert to fraction form
    35.86/49.35 = 27.64/x
  3. Step 3: Cross multiply
    35.86x = 49.35 × 27.64
  4. Step 4: Simplify right side
    35.86x = 1,364.03
  5. Step 5: Solve for x
    x = 1,364.03/35.86
  6. Step 6: Final answer
    x = 38.04

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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.