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Finding the Fourth Proportional to 104.07, 155.82 and 71.50

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Solution

The fourth proportional to 104.07, 155.82 and 71.50 is: 107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.07 : 155.82 = 71.50 : x
  2. Step 2: Convert to fraction form
    104.07/155.82 = 71.50/x
  3. Step 3: Cross multiply
    104.07x = 155.82 × 71.50
  4. Step 4: Simplify right side
    104.07x = 11,140.64
  5. Step 5: Solve for x
    x = 11,140.64/104.07
  6. Step 6: Final answer
    x = 107.05

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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.