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Finding the Fourth Proportional to 113.07, 156.09 and 74.26

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Solution

The fourth proportional to 113.07, 156.09 and 74.26 is: 102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.07 : 156.09 = 74.26 : x
  2. Step 2: Convert to fraction form
    113.07/156.09 = 74.26/x
  3. Step 3: Cross multiply
    113.07x = 156.09 × 74.26
  4. Step 4: Simplify right side
    113.07x = 11,591.24
  5. Step 5: Solve for x
    x = 11,591.24/113.07
  6. Step 6: Final answer
    x = 102.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.