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Finding the Fourth Proportional to 130.76, 180.17 and 107.36

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Solution

The fourth proportional to 130.76, 180.17 and 107.36 is: 147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.76 : 180.17 = 107.36 : x
  2. Step 2: Convert to fraction form
    130.76/180.17 = 107.36/x
  3. Step 3: Cross multiply
    130.76x = 180.17 × 107.36
  4. Step 4: Simplify right side
    130.76x = 19,342.96
  5. Step 5: Solve for x
    x = 19,342.96/130.76
  6. Step 6: Final answer
    x = 147.93

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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.