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Finding the Fourth Proportional to 104.35, 156.56 and 49.52

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Solution

The fourth proportional to 104.35, 156.56 and 49.52 is: 74.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.35 : 156.56 = 49.52 : x
  2. Step 2: Convert to fraction form
    104.35/156.56 = 49.52/x
  3. Step 3: Cross multiply
    104.35x = 156.56 × 49.52
  4. Step 4: Simplify right side
    104.35x = 7,752.69
  5. Step 5: Solve for x
    x = 7,752.69/104.35
  6. Step 6: Final answer
    x = 74.30

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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.