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Finding the Fourth Proportional to 130.74, 194.88 and 128.28

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Solution

The fourth proportional to 130.74, 194.88 and 128.28 is: 191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.74 : 194.88 = 128.28 : x
  2. Step 2: Convert to fraction form
    130.74/194.88 = 128.28/x
  3. Step 3: Cross multiply
    130.74x = 194.88 × 128.28
  4. Step 4: Simplify right side
    130.74x = 24,999.21
  5. Step 5: Solve for x
    x = 24,999.21/130.74
  6. Step 6: Final answer
    x = 191.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.