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Finding the Fourth Proportional to 130.30, 179.79 and 77.84

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Solution

The fourth proportional to 130.30, 179.79 and 77.84 is: 107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.30 : 179.79 = 77.84 : x
  2. Step 2: Convert to fraction form
    130.30/179.79 = 77.84/x
  3. Step 3: Cross multiply
    130.30x = 179.79 × 77.84
  4. Step 4: Simplify right side
    130.30x = 13,994.80
  5. Step 5: Solve for x
    x = 13,994.80/130.30
  6. Step 6: Final answer
    x = 107.40

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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.