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Finding the Fourth Proportional to 62.78, 86.47 and 58.35

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Solution

The fourth proportional to 62.78, 86.47 and 58.35 is: 80.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.78 : 86.47 = 58.35 : x
  2. Step 2: Convert to fraction form
    62.78/86.47 = 58.35/x
  3. Step 3: Cross multiply
    62.78x = 86.47 × 58.35
  4. Step 4: Simplify right side
    62.78x = 5,045.52
  5. Step 5: Solve for x
    x = 5,045.52/62.78
  6. Step 6: Final answer
    x = 80.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.