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Finding the Fourth Proportional to 104.90, 156.27 and 95.54

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Solution

The fourth proportional to 104.90, 156.27 and 95.54 is: 142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.90 : 156.27 = 95.54 : x
  2. Step 2: Convert to fraction form
    104.90/156.27 = 95.54/x
  3. Step 3: Cross multiply
    104.90x = 156.27 × 95.54
  4. Step 4: Simplify right side
    104.90x = 14,929.56
  5. Step 5: Solve for x
    x = 14,929.56/104.90
  6. Step 6: Final answer
    x = 142.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.