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Finding the Fourth Proportional to 127.70, 191.24 and 97.02

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Solution

The fourth proportional to 127.70, 191.24 and 97.02 is: 145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.70 : 191.24 = 97.02 : x
  2. Step 2: Convert to fraction form
    127.70/191.24 = 97.02/x
  3. Step 3: Cross multiply
    127.70x = 191.24 × 97.02
  4. Step 4: Simplify right side
    127.70x = 18,554.10
  5. Step 5: Solve for x
    x = 18,554.10/127.70
  6. Step 6: Final answer
    x = 145.29

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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.