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Finding the Fourth Proportional to 130.64, 195.95 and 34.45

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Solution

The fourth proportional to 130.64, 195.95 and 34.45 is: 51.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.64 : 195.95 = 34.45 : x
  2. Step 2: Convert to fraction form
    130.64/195.95 = 34.45/x
  3. Step 3: Cross multiply
    130.64x = 195.95 × 34.45
  4. Step 4: Simplify right side
    130.64x = 6,750.48
  5. Step 5: Solve for x
    x = 6,750.48/130.64
  6. Step 6: Final answer
    x = 51.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.