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Finding the Fourth Proportional to 100.31, 138.36 and 72.72

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Solution

The fourth proportional to 100.31, 138.36 and 72.72 is: 100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.31 : 138.36 = 72.72 : x
  2. Step 2: Convert to fraction form
    100.31/138.36 = 72.72/x
  3. Step 3: Cross multiply
    100.31x = 138.36 × 72.72
  4. Step 4: Simplify right side
    100.31x = 10,061.79
  5. Step 5: Solve for x
    x = 10,061.79/100.31
  6. Step 6: Final answer
    x = 100.30

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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.