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Finding the Fourth Proportional to 130.90, 196.66 and 127.12

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Solution

The fourth proportional to 130.90, 196.66 and 127.12 is: 190.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.90 : 196.66 = 127.12 : x
  2. Step 2: Convert to fraction form
    130.90/196.66 = 127.12/x
  3. Step 3: Cross multiply
    130.90x = 196.66 × 127.12
  4. Step 4: Simplify right side
    130.90x = 24,999.42
  5. Step 5: Solve for x
    x = 24,999.42/130.90
  6. Step 6: Final answer
    x = 190.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.