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Finding the Fourth Proportional to 85.83, 118.47 and 58.23

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Solution

The fourth proportional to 85.83, 118.47 and 58.23 is: 80.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.83 : 118.47 = 58.23 : x
  2. Step 2: Convert to fraction form
    85.83/118.47 = 58.23/x
  3. Step 3: Cross multiply
    85.83x = 118.47 × 58.23
  4. Step 4: Simplify right side
    85.83x = 6,898.51
  5. Step 5: Solve for x
    x = 6,898.51/85.83
  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.