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Finding the Fourth Proportional to 100.36, 138.54 and 75.81

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Solution

The fourth proportional to 100.36, 138.54 and 75.81 is: 104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.36 : 138.54 = 75.81 : x
  2. Step 2: Convert to fraction form
    100.36/138.54 = 75.81/x
  3. Step 3: Cross multiply
    100.36x = 138.54 × 75.81
  4. Step 4: Simplify right side
    100.36x = 10,502.72
  5. Step 5: Solve for x
    x = 10,502.72/100.36
  6. Step 6: Final answer
    x = 104.65

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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.