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Finding the Fourth Proportional to 130.08, 179.40 and 78.33

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Solution

The fourth proportional to 130.08, 179.40 and 78.33 is: 108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.08 : 179.40 = 78.33 : x
  2. Step 2: Convert to fraction form
    130.08/179.40 = 78.33/x
  3. Step 3: Cross multiply
    130.08x = 179.40 × 78.33
  4. Step 4: Simplify right side
    130.08x = 14,052.40
  5. Step 5: Solve for x
    x = 14,052.40/130.08
  6. Step 6: Final answer
    x = 108.03

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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.