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Finding the Fourth Proportional to 130.25, 195.43 and 58.09

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Solution

The fourth proportional to 130.25, 195.43 and 58.09 is: 87.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.25 : 195.43 = 58.09 : x
  2. Step 2: Convert to fraction form
    130.25/195.43 = 58.09/x
  3. Step 3: Cross multiply
    130.25x = 195.43 × 58.09
  4. Step 4: Simplify right side
    130.25x = 11,352.53
  5. Step 5: Solve for x
    x = 11,352.53/130.25
  6. Step 6: Final answer
    x = 87.16

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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.