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Finding the Fourth Proportional to 230.25, 345.37 and 56.91

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Solution

The fourth proportional to 230.25, 345.37 and 56.91 is: 85.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.25 : 345.37 = 56.91 : x
  2. Step 2: Convert to fraction form
    230.25/345.37 = 56.91/x
  3. Step 3: Cross multiply
    230.25x = 345.37 × 56.91
  4. Step 4: Simplify right side
    230.25x = 19,656.27
  5. Step 5: Solve for x
    x = 19,656.27/230.25
  6. Step 6: Final answer
    x = 85.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.