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Finding the Fourth Proportional to 130.32, 194.92 and 76.08

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Solution

The fourth proportional to 130.32, 194.92 and 76.08 is: 113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.32 : 194.92 = 76.08 : x
  2. Step 2: Convert to fraction form
    130.32/194.92 = 76.08/x
  3. Step 3: Cross multiply
    130.32x = 194.92 × 76.08
  4. Step 4: Simplify right side
    130.32x = 14,829.51
  5. Step 5: Solve for x
    x = 14,829.51/130.32
  6. Step 6: Final answer
    x = 113.79

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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.