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Finding the Fourth Proportional to 130.56, 180.12 and 97.74

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Solution

The fourth proportional to 130.56, 180.12 and 97.74 is: 134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.56 : 180.12 = 97.74 : x
  2. Step 2: Convert to fraction form
    130.56/180.12 = 97.74/x
  3. Step 3: Cross multiply
    130.56x = 180.12 × 97.74
  4. Step 4: Simplify right side
    130.56x = 17,604.93
  5. Step 5: Solve for x
    x = 17,604.93/130.56
  6. Step 6: Final answer
    x = 134.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.