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Finding the Fourth Proportional to 57.95, 80.05 and 47.17

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Solution

The fourth proportional to 57.95, 80.05 and 47.17 is: 65.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.95 : 80.05 = 47.17 : x
  2. Step 2: Convert to fraction form
    57.95/80.05 = 47.17/x
  3. Step 3: Cross multiply
    57.95x = 80.05 × 47.17
  4. Step 4: Simplify right side
    57.95x = 3,775.96
  5. Step 5: Solve for x
    x = 3,775.96/57.95
  6. Step 6: Final answer
    x = 65.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.