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Finding the Fourth Proportional to 137.54, 206.35 and 88.79

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Solution

The fourth proportional to 137.54, 206.35 and 88.79 is: 133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.54 : 206.35 = 88.79 : x
  2. Step 2: Convert to fraction form
    137.54/206.35 = 88.79/x
  3. Step 3: Cross multiply
    137.54x = 206.35 × 88.79
  4. Step 4: Simplify right side
    137.54x = 18,320.56
  5. Step 5: Solve for x
    x = 18,320.56/137.54
  6. Step 6: Final answer
    x = 133.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.