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Finding the Fourth Proportional to 130.78, 180.57 and 87.22

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Solution

The fourth proportional to 130.78, 180.57 and 87.22 is: 120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.78 : 180.57 = 87.22 : x
  2. Step 2: Convert to fraction form
    130.78/180.57 = 87.22/x
  3. Step 3: Cross multiply
    130.78x = 180.57 × 87.22
  4. Step 4: Simplify right side
    130.78x = 15,749.32
  5. Step 5: Solve for x
    x = 15,749.32/130.78
  6. Step 6: Final answer
    x = 120.43

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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.