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Finding the Fourth Proportional to 88.70, 122.31 and 76.95

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Solution

The fourth proportional to 88.70, 122.31 and 76.95 is: 106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.70 : 122.31 = 76.95 : x
  2. Step 2: Convert to fraction form
    88.70/122.31 = 76.95/x
  3. Step 3: Cross multiply
    88.70x = 122.31 × 76.95
  4. Step 4: Simplify right side
    88.70x = 9,411.75
  5. Step 5: Solve for x
    x = 9,411.75/88.70
  6. Step 6: Final answer
    x = 106.11

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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.