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Finding the Fourth Proportional to 101.92, 139.72 and 100.08

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Solution

The fourth proportional to 101.92, 139.72 and 100.08 is: 137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.92 : 139.72 = 100.08 : x
  2. Step 2: Convert to fraction form
    101.92/139.72 = 100.08/x
  3. Step 3: Cross multiply
    101.92x = 139.72 × 100.08
  4. Step 4: Simplify right side
    101.92x = 13,983.18
  5. Step 5: Solve for x
    x = 13,983.18/101.92
  6. Step 6: Final answer
    x = 137.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.