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Finding the Fourth Proportional to 88.14, 131.30 and 82.98

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Solution

The fourth proportional to 88.14, 131.30 and 82.98 is: 123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.14 : 131.30 = 82.98 : x
  2. Step 2: Convert to fraction form
    88.14/131.30 = 82.98/x
  3. Step 3: Cross multiply
    88.14x = 131.30 × 82.98
  4. Step 4: Simplify right side
    88.14x = 10,895.27
  5. Step 5: Solve for x
    x = 10,895.27/88.14
  6. Step 6: Final answer
    x = 123.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.