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Finding the Fourth Proportional to 130, 195.02 and 65.88

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Solution

The fourth proportional to 130, 195.02 and 65.88 is: 98.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130 : 195.02 = 65.88 : x
  2. Step 2: Convert to fraction form
    130/195.02 = 65.88/x
  3. Step 3: Cross multiply
    130x = 195.02 × 65.88
  4. Step 4: Simplify right side
    130x = 12,847.92
  5. Step 5: Solve for x
    x = 12,847.92/130
  6. Step 6: Final answer
    x = 98.83

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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.