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Finding the Fourth Proportional to 130.74, 196.10 and 34.55

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Solution

The fourth proportional to 130.74, 196.10 and 34.55 is: 51.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.74 : 196.10 = 34.55 : x
  2. Step 2: Convert to fraction form
    130.74/196.10 = 34.55/x
  3. Step 3: Cross multiply
    130.74x = 196.10 × 34.55
  4. Step 4: Simplify right side
    130.74x = 6,775.26
  5. Step 5: Solve for x
    x = 6,775.26/130.74
  6. Step 6: Final answer
    x = 51.82

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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.