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Finding the Fourth Proportional to 35.90, 53.79 and 27.75

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Solution

The fourth proportional to 35.90, 53.79 and 27.75 is: 41.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.90 : 53.79 = 27.75 : x
  2. Step 2: Convert to fraction form
    35.90/53.79 = 27.75/x
  3. Step 3: Cross multiply
    35.90x = 53.79 × 27.75
  4. Step 4: Simplify right side
    35.90x = 1,492.67
  5. Step 5: Solve for x
    x = 1,492.67/35.90
  6. Step 6: Final answer
    x = 41.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.