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Finding the Fourth Proportional to 137.71, 189.76 and 100.80

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Solution

The fourth proportional to 137.71, 189.76 and 100.80 is: 138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.71 : 189.76 = 100.80 : x
  2. Step 2: Convert to fraction form
    137.71/189.76 = 100.80/x
  3. Step 3: Cross multiply
    137.71x = 189.76 × 100.80
  4. Step 4: Simplify right side
    137.71x = 19,127.81
  5. Step 5: Solve for x
    x = 19,127.81/137.71
  6. Step 6: Final answer
    x = 138.90

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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.