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Finding the Fourth Proportional to 62.81, 93.68 and 57.56

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Solution

The fourth proportional to 62.81, 93.68 and 57.56 is: 85.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.81 : 93.68 = 57.56 : x
  2. Step 2: Convert to fraction form
    62.81/93.68 = 57.56/x
  3. Step 3: Cross multiply
    62.81x = 93.68 × 57.56
  4. Step 4: Simplify right side
    62.81x = 5,391.46
  5. Step 5: Solve for x
    x = 5,391.46/62.81
  6. Step 6: Final answer
    x = 85.84

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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.