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Finding the Fourth Proportional to 130.11, 179.39 and 106.77

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Solution

The fourth proportional to 130.11, 179.39 and 106.77 is: 147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.11 : 179.39 = 106.77 : x
  2. Step 2: Convert to fraction form
    130.11/179.39 = 106.77/x
  3. Step 3: Cross multiply
    130.11x = 179.39 × 106.77
  4. Step 4: Simplify right side
    130.11x = 19,152.94
  5. Step 5: Solve for x
    x = 19,152.94/130.11
  6. Step 6: Final answer
    x = 147.21

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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.