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Finding the Fourth Proportional to 30.23, 41.75 and 27.77

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Solution

The fourth proportional to 30.23, 41.75 and 27.77 is: 38.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.23 : 41.75 = 27.77 : x
  2. Step 2: Convert to fraction form
    30.23/41.75 = 27.77/x
  3. Step 3: Cross multiply
    30.23x = 41.75 × 27.77
  4. Step 4: Simplify right side
    30.23x = 1,159.05
  5. Step 5: Solve for x
    x = 1,159.05/30.23
  6. Step 6: Final answer
    x = 38.35

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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.