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Finding the Fourth Proportional to 130.34, 195.41 and 49.14

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Solution

The fourth proportional to 130.34, 195.41 and 49.14 is: 73.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.34 : 195.41 = 49.14 : x
  2. Step 2: Convert to fraction form
    130.34/195.41 = 49.14/x
  3. Step 3: Cross multiply
    130.34x = 195.41 × 49.14
  4. Step 4: Simplify right side
    130.34x = 9,602.57
  5. Step 5: Solve for x
    x = 9,602.57/130.34
  6. Step 6: Final answer
    x = 73.67

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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.