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Finding the Fourth Proportional to 90.83, 125.34 and 58.09

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Solution

The fourth proportional to 90.83, 125.34 and 58.09 is: 80.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.83 : 125.34 = 58.09 : x
  2. Step 2: Convert to fraction form
    90.83/125.34 = 58.09/x
  3. Step 3: Cross multiply
    90.83x = 125.34 × 58.09
  4. Step 4: Simplify right side
    90.83x = 7,281.00
  5. Step 5: Solve for x
    x = 7,281.00/90.83
  6. Step 6: Final answer
    x = 80.16

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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.