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Finding the Fourth Proportional to 113.60, 156.83 and 80.48

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Solution

The fourth proportional to 113.60, 156.83 and 80.48 is: 111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.60 : 156.83 = 80.48 : x
  2. Step 2: Convert to fraction form
    113.60/156.83 = 80.48/x
  3. Step 3: Cross multiply
    113.60x = 156.83 × 80.48
  4. Step 4: Simplify right side
    113.60x = 12,621.67
  5. Step 5: Solve for x
    x = 12,621.67/113.60
  6. Step 6: Final answer
    x = 111.10

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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.