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Finding the Fourth Proportional to 154.12, 212.62 and 95.88

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Solution

The fourth proportional to 154.12, 212.62 and 95.88 is: 132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.12 : 212.62 = 95.88 : x
  2. Step 2: Convert to fraction form
    154.12/212.62 = 95.88/x
  3. Step 3: Cross multiply
    154.12x = 212.62 × 95.88
  4. Step 4: Simplify right side
    154.12x = 20,386.01
  5. Step 5: Solve for x
    x = 20,386.01/154.12
  6. Step 6: Final answer
    x = 132.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.