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Finding the Fourth Proportional to 113.41, 156.44 and 105.59

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Solution

The fourth proportional to 113.41, 156.44 and 105.59 is: 145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.41 : 156.44 = 105.59 : x
  2. Step 2: Convert to fraction form
    113.41/156.44 = 105.59/x
  3. Step 3: Cross multiply
    113.41x = 156.44 × 105.59
  4. Step 4: Simplify right side
    113.41x = 16,518.50
  5. Step 5: Solve for x
    x = 16,518.50/113.41
  6. Step 6: Final answer
    x = 145.65

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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.