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Finding the Fourth Proportional to 154.63, 213.34 and 99.35

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Solution

The fourth proportional to 154.63, 213.34 and 99.35 is: 137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.63 : 213.34 = 99.35 : x
  2. Step 2: Convert to fraction form
    154.63/213.34 = 99.35/x
  3. Step 3: Cross multiply
    154.63x = 213.34 × 99.35
  4. Step 4: Simplify right side
    154.63x = 21,195.08
  5. Step 5: Solve for x
    x = 21,195.08/154.63
  6. Step 6: Final answer
    x = 137.07

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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.