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Finding the Fourth Proportional to 130.72, 196.16 and 89.62

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Solution

The fourth proportional to 130.72, 196.16 and 89.62 is: 134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.72 : 196.16 = 89.62 : x
  2. Step 2: Convert to fraction form
    130.72/196.16 = 89.62/x
  3. Step 3: Cross multiply
    130.72x = 196.16 × 89.62
  4. Step 4: Simplify right side
    130.72x = 17,579.86
  5. Step 5: Solve for x
    x = 17,579.86/130.72
  6. Step 6: Final answer
    x = 134.48

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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.