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Finding the Fourth Proportional to 100.91, 139.46 and 76.31

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Solution

The fourth proportional to 100.91, 139.46 and 76.31 is: 105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.91 : 139.46 = 76.31 : x
  2. Step 2: Convert to fraction form
    100.91/139.46 = 76.31/x
  3. Step 3: Cross multiply
    100.91x = 139.46 × 76.31
  4. Step 4: Simplify right side
    100.91x = 10,641.64
  5. Step 5: Solve for x
    x = 10,641.64/100.91
  6. Step 6: Final answer
    x = 105.45

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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.