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Finding the Fourth Proportional to 71.28, 106.71 and 48.33

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Solution

The fourth proportional to 71.28, 106.71 and 48.33 is: 72.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.28 : 106.71 = 48.33 : x
  2. Step 2: Convert to fraction form
    71.28/106.71 = 48.33/x
  3. Step 3: Cross multiply
    71.28x = 106.71 × 48.33
  4. Step 4: Simplify right side
    71.28x = 5,157.29
  5. Step 5: Solve for x
    x = 5,157.29/71.28
  6. Step 6: Final answer
    x = 72.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.