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Finding the Fourth Proportional to 100.34, 137.91 and 88.61

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Solution

The fourth proportional to 100.34, 137.91 and 88.61 is: 121.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.34 : 137.91 = 88.61 : x
  2. Step 2: Convert to fraction form
    100.34/137.91 = 88.61/x
  3. Step 3: Cross multiply
    100.34x = 137.91 × 88.61
  4. Step 4: Simplify right side
    100.34x = 12,220.55
  5. Step 5: Solve for x
    x = 12,220.55/100.34
  6. Step 6: Final answer
    x = 121.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.