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Finding the Fourth Proportional to 126, 188.46 and 89.82

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Solution

The fourth proportional to 126, 188.46 and 89.82 is: 134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126 : 188.46 = 89.82 : x
  2. Step 2: Convert to fraction form
    126/188.46 = 89.82/x
  3. Step 3: Cross multiply
    126x = 188.46 × 89.82
  4. Step 4: Simplify right side
    126x = 16,927.48
  5. Step 5: Solve for x
    x = 16,927.48/126
  6. Step 6: Final answer
    x = 134.35

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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.