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Finding the Fourth Proportional to 71.06, 106.34 and 45.39

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Solution

The fourth proportional to 71.06, 106.34 and 45.39 is: 67.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.06 : 106.34 = 45.39 : x
  2. Step 2: Convert to fraction form
    71.06/106.34 = 45.39/x
  3. Step 3: Cross multiply
    71.06x = 106.34 × 45.39
  4. Step 4: Simplify right side
    71.06x = 4,826.28
  5. Step 5: Solve for x
    x = 4,826.28/71.06
  6. Step 6: Final answer
    x = 67.92

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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.