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Finding the Fourth Proportional to 130.06, 195.36 and 82.00

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Solution

The fourth proportional to 130.06, 195.36 and 82.00 is: 123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.06 : 195.36 = 82.00 : x
  2. Step 2: Convert to fraction form
    130.06/195.36 = 82.00/x
  3. Step 3: Cross multiply
    130.06x = 195.36 × 82.00
  4. Step 4: Simplify right side
    130.06x = 16,018.13
  5. Step 5: Solve for x
    x = 16,018.13/130.06
  6. Step 6: Final answer
    x = 123.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.