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Finding the Fourth Proportional to 130.40, 180.06 and 116.56

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Solution

The fourth proportional to 130.40, 180.06 and 116.56 is: 160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.40 : 180.06 = 116.56 : x
  2. Step 2: Convert to fraction form
    130.40/180.06 = 116.56/x
  3. Step 3: Cross multiply
    130.40x = 180.06 × 116.56
  4. Step 4: Simplify right side
    130.40x = 20,987.79
  5. Step 5: Solve for x
    x = 20,987.79/130.40
  6. Step 6: Final answer
    x = 160.95

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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.