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Finding the Fourth Proportional to 130.40, 179.96 and 97.72

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Solution

The fourth proportional to 130.40, 179.96 and 97.72 is: 134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.40 : 179.96 = 97.72 : x
  2. Step 2: Convert to fraction form
    130.40/179.96 = 97.72/x
  3. Step 3: Cross multiply
    130.40x = 179.96 × 97.72
  4. Step 4: Simplify right side
    130.40x = 17,585.69
  5. Step 5: Solve for x
    x = 17,585.69/130.40
  6. Step 6: Final answer
    x = 134.86

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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.