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Finding the Fourth Proportional to 100.35, 138.55 and 89.83

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Solution

The fourth proportional to 100.35, 138.55 and 89.83 is: 124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.35 : 138.55 = 89.83 : x
  2. Step 2: Convert to fraction form
    100.35/138.55 = 89.83/x
  3. Step 3: Cross multiply
    100.35x = 138.55 × 89.83
  4. Step 4: Simplify right side
    100.35x = 12,446.02
  5. Step 5: Solve for x
    x = 12,446.02/100.35
  6. Step 6: Final answer
    x = 124.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.