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Finding the Fourth Proportional to 130.49, 180.33 and 107.14

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Solution

The fourth proportional to 130.49, 180.33 and 107.14 is: 148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.49 : 180.33 = 107.14 : x
  2. Step 2: Convert to fraction form
    130.49/180.33 = 107.14/x
  3. Step 3: Cross multiply
    130.49x = 180.33 × 107.14
  4. Step 4: Simplify right side
    130.49x = 19,320.56
  5. Step 5: Solve for x
    x = 19,320.56/130.49
  6. Step 6: Final answer
    x = 148.06

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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.