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Finding the Fourth Proportional to 277.15, 415.73 and 71.72

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Solution

The fourth proportional to 277.15, 415.73 and 71.72 is: 107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.15 : 415.73 = 71.72 : x
  2. Step 2: Convert to fraction form
    277.15/415.73 = 71.72/x
  3. Step 3: Cross multiply
    277.15x = 415.73 × 71.72
  4. Step 4: Simplify right side
    277.15x = 29,816.16
  5. Step 5: Solve for x
    x = 29,816.16/277.15
  6. Step 6: Final answer
    x = 107.58

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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.