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Finding the Fourth Proportional to 130.46, 179.62 and 105.98

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Solution

The fourth proportional to 130.46, 179.62 and 105.98 is: 145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.46 : 179.62 = 105.98 : x
  2. Step 2: Convert to fraction form
    130.46/179.62 = 105.98/x
  3. Step 3: Cross multiply
    130.46x = 179.62 × 105.98
  4. Step 4: Simplify right side
    130.46x = 19,034.96
  5. Step 5: Solve for x
    x = 19,034.96/130.46
  6. Step 6: Final answer
    x = 145.91

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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.