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Finding the Fourth Proportional to 29.90, 41.07 and 27.50

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Solution

The fourth proportional to 29.90, 41.07 and 27.50 is: 37.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.90 : 41.07 = 27.50 : x
  2. Step 2: Convert to fraction form
    29.90/41.07 = 27.50/x
  3. Step 3: Cross multiply
    29.90x = 41.07 × 27.50
  4. Step 4: Simplify right side
    29.90x = 1,129.43
  5. Step 5: Solve for x
    x = 1,129.43/29.90
  6. Step 6: Final answer
    x = 37.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.