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Finding the Fourth Proportional to 130.83, 180.55 and 78.36

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Solution

The fourth proportional to 130.83, 180.55 and 78.36 is: 108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.83 : 180.55 = 78.36 : x
  2. Step 2: Convert to fraction form
    130.83/180.55 = 78.36/x
  3. Step 3: Cross multiply
    130.83x = 180.55 × 78.36
  4. Step 4: Simplify right side
    130.83x = 14,148.62
  5. Step 5: Solve for x
    x = 14,148.62/130.83
  6. Step 6: Final answer
    x = 108.15

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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.