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Finding the Fourth Proportional to 130.27, 180 and 106.88

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Solution

The fourth proportional to 130.27, 180 and 106.88 is: 147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.27 : 180 = 106.88 : x
  2. Step 2: Convert to fraction form
    130.27/180 = 106.88/x
  3. Step 3: Cross multiply
    130.27x = 180 × 106.88
  4. Step 4: Simplify right side
    130.27x = 19,238.40
  5. Step 5: Solve for x
    x = 19,238.40/130.27
  6. Step 6: Final answer
    x = 147.68

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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.