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Finding the Fourth Proportional to 71.12, 106.80 and 47.08

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Solution

The fourth proportional to 71.12, 106.80 and 47.08 is: 70.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.12 : 106.80 = 47.08 : x
  2. Step 2: Convert to fraction form
    71.12/106.80 = 47.08/x
  3. Step 3: Cross multiply
    71.12x = 106.80 × 47.08
  4. Step 4: Simplify right side
    71.12x = 5,028.14
  5. Step 5: Solve for x
    x = 5,028.14/71.12
  6. Step 6: Final answer
    x = 70.70

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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.