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Finding the Fourth Proportional to 134.82, 186.07 and 130.57

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Solution

The fourth proportional to 134.82, 186.07 and 130.57 is: 180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.82 : 186.07 = 130.57 : x
  2. Step 2: Convert to fraction form
    134.82/186.07 = 130.57/x
  3. Step 3: Cross multiply
    134.82x = 186.07 × 130.57
  4. Step 4: Simplify right side
    134.82x = 24,294.37
  5. Step 5: Solve for x
    x = 24,294.37/134.82
  6. Step 6: Final answer
    x = 180.20

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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.