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Finding the Fourth Proportional to 104.37, 156.56 and 75.40

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Solution

The fourth proportional to 104.37, 156.56 and 75.40 is: 113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.37 : 156.56 = 75.40 : x
  2. Step 2: Convert to fraction form
    104.37/156.56 = 75.40/x
  3. Step 3: Cross multiply
    104.37x = 156.56 × 75.40
  4. Step 4: Simplify right side
    104.37x = 11,804.62
  5. Step 5: Solve for x
    x = 11,804.62/104.37
  6. Step 6: Final answer
    x = 113.10

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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.