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Finding the Fourth Proportional to 89.82, 123.96 and 58.74

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Solution

The fourth proportional to 89.82, 123.96 and 58.74 is: 81.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.82 : 123.96 = 58.74 : x
  2. Step 2: Convert to fraction form
    89.82/123.96 = 58.74/x
  3. Step 3: Cross multiply
    89.82x = 123.96 × 58.74
  4. Step 4: Simplify right side
    89.82x = 7,281.41
  5. Step 5: Solve for x
    x = 7,281.41/89.82
  6. Step 6: Final answer
    x = 81.07

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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.