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Finding the Fourth Proportional to 130.37, 179.84 and 111.98

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Solution

The fourth proportional to 130.37, 179.84 and 111.98 is: 154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.37 : 179.84 = 111.98 : x
  2. Step 2: Convert to fraction form
    130.37/179.84 = 111.98/x
  3. Step 3: Cross multiply
    130.37x = 179.84 × 111.98
  4. Step 4: Simplify right side
    130.37x = 20,139.21
  5. Step 5: Solve for x
    x = 20,139.21/130.37
  6. Step 6: Final answer
    x = 154.48

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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.