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Finding the Fourth Proportional to 130.40, 179.92 and 75.12

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Solution

The fourth proportional to 130.40, 179.92 and 75.12 is: 103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.40 : 179.92 = 75.12 : x
  2. Step 2: Convert to fraction form
    130.40/179.92 = 75.12/x
  3. Step 3: Cross multiply
    130.40x = 179.92 × 75.12
  4. Step 4: Simplify right side
    130.40x = 13,514.69
  5. Step 5: Solve for x
    x = 13,514.69/130.40
  6. Step 6: Final answer
    x = 103.64

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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.