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Finding the Fourth Proportional to 120.34, 180.51 and 77.50

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Solution

The fourth proportional to 120.34, 180.51 and 77.50 is: 116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.34 : 180.51 = 77.50 : x
  2. Step 2: Convert to fraction form
    120.34/180.51 = 77.50/x
  3. Step 3: Cross multiply
    120.34x = 180.51 × 77.50
  4. Step 4: Simplify right side
    120.34x = 13,989.53
  5. Step 5: Solve for x
    x = 13,989.53/120.34
  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.