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Finding the Fourth Proportional to 130.53, 180.38 and 114.33

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Solution

The fourth proportional to 130.53, 180.38 and 114.33 is: 157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.53 : 180.38 = 114.33 : x
  2. Step 2: Convert to fraction form
    130.53/180.38 = 114.33/x
  3. Step 3: Cross multiply
    130.53x = 180.38 × 114.33
  4. Step 4: Simplify right side
    130.53x = 20,622.85
  5. Step 5: Solve for x
    x = 20,622.85/130.53
  6. Step 6: Final answer
    x = 157.99

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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.