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Finding the Fourth Proportional to 130.40, 195.62 and 43.74

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Solution

The fourth proportional to 130.40, 195.62 and 43.74 is: 65.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.40 : 195.62 = 43.74 : x
  2. Step 2: Convert to fraction form
    130.40/195.62 = 43.74/x
  3. Step 3: Cross multiply
    130.40x = 195.62 × 43.74
  4. Step 4: Simplify right side
    130.40x = 8,556.42
  5. Step 5: Solve for x
    x = 8,556.42/130.40
  6. Step 6: Final answer
    x = 65.62

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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.