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Finding the Fourth Proportional to 138.58, 190.86 and 130.07

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Solution

The fourth proportional to 138.58, 190.86 and 130.07 is: 179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.58 : 190.86 = 130.07 : x
  2. Step 2: Convert to fraction form
    138.58/190.86 = 130.07/x
  3. Step 3: Cross multiply
    138.58x = 190.86 × 130.07
  4. Step 4: Simplify right side
    138.58x = 24,825.15
  5. Step 5: Solve for x
    x = 24,825.15/138.58
  6. Step 6: Final answer
    x = 179.14

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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.