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Finding the Fourth Proportional to 120.32, 180.44 and 77.52

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Solution

The fourth proportional to 120.32, 180.44 and 77.52 is: 116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.32 : 180.44 = 77.52 : x
  2. Step 2: Convert to fraction form
    120.32/180.44 = 77.52/x
  3. Step 3: Cross multiply
    120.32x = 180.44 × 77.52
  4. Step 4: Simplify right side
    120.32x = 13,987.71
  5. Step 5: Solve for x
    x = 13,987.71/120.32
  6. Step 6: Final answer
    x = 116.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.