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Finding the Fourth Proportional to 127.29, 190.67 and 97.04

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Solution

The fourth proportional to 127.29, 190.67 and 97.04 is: 145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.29 : 190.67 = 97.04 : x
  2. Step 2: Convert to fraction form
    127.29/190.67 = 97.04/x
  3. Step 3: Cross multiply
    127.29x = 190.67 × 97.04
  4. Step 4: Simplify right side
    127.29x = 18,501.18
  5. Step 5: Solve for x
    x = 18,501.18/127.29
  6. Step 6: Final answer
    x = 145.35

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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.