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Finding the Fourth Proportional to 57.12, 86.04 and 46.56

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Solution

The fourth proportional to 57.12, 86.04 and 46.56 is: 70.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.12 : 86.04 = 46.56 : x
  2. Step 2: Convert to fraction form
    57.12/86.04 = 46.56/x
  3. Step 3: Cross multiply
    57.12x = 86.04 × 46.56
  4. Step 4: Simplify right side
    57.12x = 4,006.02
  5. Step 5: Solve for x
    x = 4,006.02/57.12
  6. Step 6: Final answer
    x = 70.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.