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Finding the Fourth Proportional to 57.06, 85.46 and 47.46

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Solution

The fourth proportional to 57.06, 85.46 and 47.46 is: 71.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.06 : 85.46 = 47.46 : x
  2. Step 2: Convert to fraction form
    57.06/85.46 = 47.46/x
  3. Step 3: Cross multiply
    57.06x = 85.46 × 47.46
  4. Step 4: Simplify right side
    57.06x = 4,055.93
  5. Step 5: Solve for x
    x = 4,055.93/57.06
  6. Step 6: Final answer
    x = 71.08

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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.