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Finding the Fourth Proportional to 127.04, 191.52 and 120.08

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Solution

The fourth proportional to 127.04, 191.52 and 120.08 is: 181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.04 : 191.52 = 120.08 : x
  2. Step 2: Convert to fraction form
    127.04/191.52 = 120.08/x
  3. Step 3: Cross multiply
    127.04x = 191.52 × 120.08
  4. Step 4: Simplify right side
    127.04x = 22,997.72
  5. Step 5: Solve for x
    x = 22,997.72/127.04
  6. Step 6: Final answer
    x = 181.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.