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Finding the Fourth Proportional to 130.14, 179.64 and 78.42

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Solution

The fourth proportional to 130.14, 179.64 and 78.42 is: 108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.14 : 179.64 = 78.42 : x
  2. Step 2: Convert to fraction form
    130.14/179.64 = 78.42/x
  3. Step 3: Cross multiply
    130.14x = 179.64 × 78.42
  4. Step 4: Simplify right side
    130.14x = 14,087.37
  5. Step 5: Solve for x
    x = 14,087.37/130.14
  6. Step 6: Final answer
    x = 108.25

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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.