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Finding the Fourth Proportional to 130.50, 180.09 and 78.07

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Solution

The fourth proportional to 130.50, 180.09 and 78.07 is: 107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.50 : 180.09 = 78.07 : x
  2. Step 2: Convert to fraction form
    130.50/180.09 = 78.07/x
  3. Step 3: Cross multiply
    130.50x = 180.09 × 78.07
  4. Step 4: Simplify right side
    130.50x = 14,059.63
  5. Step 5: Solve for x
    x = 14,059.63/130.50
  6. Step 6: Final answer
    x = 107.74

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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.