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Finding the Fourth Proportional to 154.06, 230.04 and 127.06

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Solution

The fourth proportional to 154.06, 230.04 and 127.06 is: 189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.06 : 230.04 = 127.06 : x
  2. Step 2: Convert to fraction form
    154.06/230.04 = 127.06/x
  3. Step 3: Cross multiply
    154.06x = 230.04 × 127.06
  4. Step 4: Simplify right side
    154.06x = 29,228.88
  5. Step 5: Solve for x
    x = 29,228.88/154.06
  6. Step 6: Final answer
    x = 189.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.