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Finding the Fourth Proportional to 130.18, 193.84 and 128.24

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Solution

The fourth proportional to 130.18, 193.84 and 128.24 is: 190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.18 : 193.84 = 128.24 : x
  2. Step 2: Convert to fraction form
    130.18/193.84 = 128.24/x
  3. Step 3: Cross multiply
    130.18x = 193.84 × 128.24
  4. Step 4: Simplify right side
    130.18x = 24,858.04
  5. Step 5: Solve for x
    x = 24,858.04/130.18
  6. Step 6: Final answer
    x = 190.95

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Why These Related Problems?

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