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Finding the Fourth Proportional to 130.56, 195.60 and 102.24

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Solution

The fourth proportional to 130.56, 195.60 and 102.24 is: 153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.56 : 195.60 = 102.24 : x
  2. Step 2: Convert to fraction form
    130.56/195.60 = 102.24/x
  3. Step 3: Cross multiply
    130.56x = 195.60 × 102.24
  4. Step 4: Simplify right side
    130.56x = 19,998.14
  5. Step 5: Solve for x
    x = 19,998.14/130.56
  6. Step 6: Final answer
    x = 153.17

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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.