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Finding the Fourth Proportional to 130.88, 180.24 and 114.56

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Solution

The fourth proportional to 130.88, 180.24 and 114.56 is: 157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.88 : 180.24 = 114.56 : x
  2. Step 2: Convert to fraction form
    130.88/180.24 = 114.56/x
  3. Step 3: Cross multiply
    130.88x = 180.24 × 114.56
  4. Step 4: Simplify right side
    130.88x = 20,648.29
  5. Step 5: Solve for x
    x = 20,648.29/130.88
  6. Step 6: Final answer
    x = 157.77

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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.