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Finding the Fourth Proportional to 62.96, 94.34 and 57.56

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Solution

The fourth proportional to 62.96, 94.34 and 57.56 is: 86.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.96 : 94.34 = 57.56 : x
  2. Step 2: Convert to fraction form
    62.96/94.34 = 57.56/x
  3. Step 3: Cross multiply
    62.96x = 94.34 × 57.56
  4. Step 4: Simplify right side
    62.96x = 5,430.21
  5. Step 5: Solve for x
    x = 5,430.21/62.96
  6. Step 6: Final answer
    x = 86.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.