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Finding the Fourth Proportional to 69.83, 96.28 and 58.89

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Solution

The fourth proportional to 69.83, 96.28 and 58.89 is: 81.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.83 : 96.28 = 58.89 : x
  2. Step 2: Convert to fraction form
    69.83/96.28 = 58.89/x
  3. Step 3: Cross multiply
    69.83x = 96.28 × 58.89
  4. Step 4: Simplify right side
    69.83x = 5,669.93
  5. Step 5: Solve for x
    x = 5,669.93/69.83
  6. Step 6: Final answer
    x = 81.20

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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.