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Finding the Fourth Proportional to 130.48, 195.98 and 111.24

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Solution

The fourth proportional to 130.48, 195.98 and 111.24 is: 167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.48 : 195.98 = 111.24 : x
  2. Step 2: Convert to fraction form
    130.48/195.98 = 111.24/x
  3. Step 3: Cross multiply
    130.48x = 195.98 × 111.24
  4. Step 4: Simplify right side
    130.48x = 21,800.26
  5. Step 5: Solve for x
    x = 21,800.26/130.48
  6. Step 6: Final answer
    x = 167.08

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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.