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Finding the Fourth Proportional to 88.06, 121.41 and 71.77

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Solution

The fourth proportional to 88.06, 121.41 and 71.77 is: 98.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.06 : 121.41 = 71.77 : x
  2. Step 2: Convert to fraction form
    88.06/121.41 = 71.77/x
  3. Step 3: Cross multiply
    88.06x = 121.41 × 71.77
  4. Step 4: Simplify right side
    88.06x = 8,713.60
  5. Step 5: Solve for x
    x = 8,713.60/88.06
  6. Step 6: Final answer
    x = 98.95

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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.