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Finding the Fourth Proportional to 120.52, 180.76 and 43.54

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Solution

The fourth proportional to 120.52, 180.76 and 43.54 is: 65.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.52 : 180.76 = 43.54 : x
  2. Step 2: Convert to fraction form
    120.52/180.76 = 43.54/x
  3. Step 3: Cross multiply
    120.52x = 180.76 × 43.54
  4. Step 4: Simplify right side
    120.52x = 7,870.29
  5. Step 5: Solve for x
    x = 7,870.29/120.52
  6. Step 6: Final answer
    x = 65.30

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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.