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Finding the Fourth Proportional to 104.42, 156.63 and 49.60

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Solution

The fourth proportional to 104.42, 156.63 and 49.60 is: 74.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.42 : 156.63 = 49.60 : x
  2. Step 2: Convert to fraction form
    104.42/156.63 = 49.60/x
  3. Step 3: Cross multiply
    104.42x = 156.63 × 49.60
  4. Step 4: Simplify right side
    104.42x = 7,768.27
  5. Step 5: Solve for x
    x = 7,768.27/104.42
  6. Step 6: Final answer
    x = 74.40

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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.