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Finding the Fourth Proportional to 130.42, 180.01 and 83.78

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Solution

The fourth proportional to 130.42, 180.01 and 83.78 is: 115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.42 : 180.01 = 83.78 : x
  2. Step 2: Convert to fraction form
    130.42/180.01 = 83.78/x
  3. Step 3: Cross multiply
    130.42x = 180.01 × 83.78
  4. Step 4: Simplify right side
    130.42x = 15,081.24
  5. Step 5: Solve for x
    x = 15,081.24/130.42
  6. Step 6: Final answer
    x = 115.64

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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.