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Finding the Fourth Proportional to 277.06, 415.59 and 71.61

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Solution

The fourth proportional to 277.06, 415.59 and 71.61 is: 107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.06 : 415.59 = 71.61 : x
  2. Step 2: Convert to fraction form
    277.06/415.59 = 71.61/x
  3. Step 3: Cross multiply
    277.06x = 415.59 × 71.61
  4. Step 4: Simplify right side
    277.06x = 29,762.05
  5. Step 5: Solve for x
    x = 29,762.05/277.06
  6. Step 6: Final answer
    x = 107.42

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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.