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Finding the Fourth Proportional to 130.29, 194.48 and 127.59

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Solution

The fourth proportional to 130.29, 194.48 and 127.59 is: 190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.29 : 194.48 = 127.59 : x
  2. Step 2: Convert to fraction form
    130.29/194.48 = 127.59/x
  3. Step 3: Cross multiply
    130.29x = 194.48 × 127.59
  4. Step 4: Simplify right side
    130.29x = 24,813.07
  5. Step 5: Solve for x
    x = 24,813.07/130.29
  6. Step 6: Final answer
    x = 190.44

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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.