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Finding the Fourth Proportional to 154.12, 212.68 and 84.17

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Solution

The fourth proportional to 154.12, 212.68 and 84.17 is: 116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.12 : 212.68 = 84.17 : x
  2. Step 2: Convert to fraction form
    154.12/212.68 = 84.17/x
  3. Step 3: Cross multiply
    154.12x = 212.68 × 84.17
  4. Step 4: Simplify right side
    154.12x = 17,902.07
  5. Step 5: Solve for x
    x = 17,902.07/154.12
  6. Step 6: Final answer
    x = 116.16

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Why These Related Problems?

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