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Finding the Fourth Proportional to 100.00, 138.03 and 89.61

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Solution

The fourth proportional to 100.00, 138.03 and 89.61 is: 123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.00 : 138.03 = 89.61 : x
  2. Step 2: Convert to fraction form
    100.00/138.03 = 89.61/x
  3. Step 3: Cross multiply
    100.00x = 138.03 × 89.61
  4. Step 4: Simplify right side
    100.00x = 12,369.81
  5. Step 5: Solve for x
    x = 12,369.81/100.00
  6. Step 6: Final answer
    x = 123.70

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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.