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Finding the Fourth Proportional to 130.14, 178.31 and 128.43

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Solution

The fourth proportional to 130.14, 178.31 and 128.43 is: 175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.14 : 178.31 = 128.43 : x
  2. Step 2: Convert to fraction form
    130.14/178.31 = 128.43/x
  3. Step 3: Cross multiply
    130.14x = 178.31 × 128.43
  4. Step 4: Simplify right side
    130.14x = 22,899.71
  5. Step 5: Solve for x
    x = 22,899.71/130.14
  6. Step 6: Final answer
    x = 175.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.