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Finding the Fourth Proportional to 130.46, 179.82 and 107.12

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Solution

The fourth proportional to 130.46, 179.82 and 107.12 is: 147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.46 : 179.82 = 107.12 : x
  2. Step 2: Convert to fraction form
    130.46/179.82 = 107.12/x
  3. Step 3: Cross multiply
    130.46x = 179.82 × 107.12
  4. Step 4: Simplify right side
    130.46x = 19,262.32
  5. Step 5: Solve for x
    x = 19,262.32/130.46
  6. Step 6: Final answer
    x = 147.65

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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.