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Finding the Fourth Proportional to 104.10, 156.07 and 65.49

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Solution

The fourth proportional to 104.10, 156.07 and 65.49 is: 98.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.10 : 156.07 = 65.49 : x
  2. Step 2: Convert to fraction form
    104.10/156.07 = 65.49/x
  3. Step 3: Cross multiply
    104.10x = 156.07 × 65.49
  4. Step 4: Simplify right side
    104.10x = 10,220.37
  5. Step 5: Solve for x
    x = 10,220.37/104.10
  6. Step 6: Final answer
    x = 98.18

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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.