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Finding the Fourth Proportional to 130.69, 180.35 and 78.24

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Solution

The fourth proportional to 130.69, 180.35 and 78.24 is: 107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.69 : 180.35 = 78.24 : x
  2. Step 2: Convert to fraction form
    130.69/180.35 = 78.24/x
  3. Step 3: Cross multiply
    130.69x = 180.35 × 78.24
  4. Step 4: Simplify right side
    130.69x = 14,110.58
  5. Step 5: Solve for x
    x = 14,110.58/130.69
  6. Step 6: Final answer
    x = 107.97

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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.