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Finding the Fourth Proportional to 104.50, 156.82 and 47.50

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Solution

The fourth proportional to 104.50, 156.82 and 47.50 is: 71.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.50 : 156.82 = 47.50 : x
  2. Step 2: Convert to fraction form
    104.50/156.82 = 47.50/x
  3. Step 3: Cross multiply
    104.50x = 156.82 × 47.50
  4. Step 4: Simplify right side
    104.50x = 7,448.95
  5. Step 5: Solve for x
    x = 7,448.95/104.50
  6. Step 6: Final answer
    x = 71.28

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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.