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Finding the Fourth Proportional to 70.89, 106.82 and 58.33

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Solution

The fourth proportional to 70.89, 106.82 and 58.33 is: 87.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.89 : 106.82 = 58.33 : x
  2. Step 2: Convert to fraction form
    70.89/106.82 = 58.33/x
  3. Step 3: Cross multiply
    70.89x = 106.82 × 58.33
  4. Step 4: Simplify right side
    70.89x = 6,230.71
  5. Step 5: Solve for x
    x = 6,230.71/70.89
  6. Step 6: Final answer
    x = 87.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.