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Finding the Fourth Proportional to 100.41, 138.51 and 72.82

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Solution

The fourth proportional to 100.41, 138.51 and 72.82 is: 100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.41 : 138.51 = 72.82 : x
  2. Step 2: Convert to fraction form
    100.41/138.51 = 72.82/x
  3. Step 3: Cross multiply
    100.41x = 138.51 × 72.82
  4. Step 4: Simplify right side
    100.41x = 10,085.69
  5. Step 5: Solve for x
    x = 10,085.69/100.41
  6. Step 6: Final answer
    x = 100.45

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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.