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Finding the Fourth Proportional to 154.78, 213.54 and 116.02

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Solution

The fourth proportional to 154.78, 213.54 and 116.02 is: 160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.78 : 213.54 = 116.02 : x
  2. Step 2: Convert to fraction form
    154.78/213.54 = 116.02/x
  3. Step 3: Cross multiply
    154.78x = 213.54 × 116.02
  4. Step 4: Simplify right side
    154.78x = 24,774.91
  5. Step 5: Solve for x
    x = 24,774.91/154.78
  6. Step 6: Final answer
    x = 160.07

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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.