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Finding the Fourth Proportional to 57.96, 86.58 and 49.68

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Solution

The fourth proportional to 57.96, 86.58 and 49.68 is: 74.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.96 : 86.58 = 49.68 : x
  2. Step 2: Convert to fraction form
    57.96/86.58 = 49.68/x
  3. Step 3: Cross multiply
    57.96x = 86.58 × 49.68
  4. Step 4: Simplify right side
    57.96x = 4,301.29
  5. Step 5: Solve for x
    x = 4,301.29/57.96
  6. Step 6: Final answer
    x = 74.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.