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Finding the Fourth Proportional to 130, 195.04 and 65.84

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Solution

The fourth proportional to 130, 195.04 and 65.84 is: 98.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130 : 195.04 = 65.84 : x
  2. Step 2: Convert to fraction form
    130/195.04 = 65.84/x
  3. Step 3: Cross multiply
    130x = 195.04 × 65.84
  4. Step 4: Simplify right side
    130x = 12,841.43
  5. Step 5: Solve for x
    x = 12,841.43/130
  6. Step 6: Final answer
    x = 98.78

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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.