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Finding the Fourth Proportional to 154.37, 213 and 88.90

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Solution

The fourth proportional to 154.37, 213 and 88.90 is: 122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.37 : 213 = 88.90 : x
  2. Step 2: Convert to fraction form
    154.37/213 = 88.90/x
  3. Step 3: Cross multiply
    154.37x = 213 × 88.90
  4. Step 4: Simplify right side
    154.37x = 18,935.70
  5. Step 5: Solve for x
    x = 18,935.70/154.37
  6. Step 6: Final answer
    x = 122.66

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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.