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Finding the Fourth Proportional to 130.42, 180.12 and 114.22

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Solution

The fourth proportional to 130.42, 180.12 and 114.22 is: 157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.42 : 180.12 = 114.22 : x
  2. Step 2: Convert to fraction form
    130.42/180.12 = 114.22/x
  3. Step 3: Cross multiply
    130.42x = 180.12 × 114.22
  4. Step 4: Simplify right side
    130.42x = 20,573.31
  5. Step 5: Solve for x
    x = 20,573.31/130.42
  6. Step 6: Final answer
    x = 157.75

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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.