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Finding the Fourth Proportional to 154.52, 212.75 and 131.16

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Solution

The fourth proportional to 154.52, 212.75 and 131.16 is: 180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.52 : 212.75 = 131.16 : x
  2. Step 2: Convert to fraction form
    154.52/212.75 = 131.16/x
  3. Step 3: Cross multiply
    154.52x = 212.75 × 131.16
  4. Step 4: Simplify right side
    154.52x = 27,902.57
  5. Step 5: Solve for x
    x = 27,902.57/154.52
  6. Step 6: Final answer
    x = 180.58

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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.