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Finding the Fourth Proportional to 58.14, 86.82 and 57.78

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Solution

The fourth proportional to 58.14, 86.82 and 57.78 is: 86.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.14 : 86.82 = 57.78 : x
  2. Step 2: Convert to fraction form
    58.14/86.82 = 57.78/x
  3. Step 3: Cross multiply
    58.14x = 86.82 × 57.78
  4. Step 4: Simplify right side
    58.14x = 5,016.46
  5. Step 5: Solve for x
    x = 5,016.46/58.14
  6. Step 6: Final answer
    x = 86.28

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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.