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Finding the Fourth Proportional to 154.43, 212.75 and 117.56

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Solution

The fourth proportional to 154.43, 212.75 and 117.56 is: 161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.43 : 212.75 = 117.56 : x
  2. Step 2: Convert to fraction form
    154.43/212.75 = 117.56/x
  3. Step 3: Cross multiply
    154.43x = 212.75 × 117.56
  4. Step 4: Simplify right side
    154.43x = 25,010.30
  5. Step 5: Solve for x
    x = 25,010.30/154.43
  6. Step 6: Final answer
    x = 161.95

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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.