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Finding the Fourth Proportional to 130.49, 180.00 and 78.00

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Solution

The fourth proportional to 130.49, 180.00 and 78.00 is: 107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.49 : 180.00 = 78.00 : x
  2. Step 2: Convert to fraction form
    130.49/180.00 = 78.00/x
  3. Step 3: Cross multiply
    130.49x = 180.00 × 78.00
  4. Step 4: Simplify right side
    130.49x = 14,040.65
  5. Step 5: Solve for x
    x = 14,040.65/130.49
  6. Step 6: Final answer
    x = 107.60

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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.