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Finding the Fourth Proportional to 120.34, 180.58 and 77

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Solution

The fourth proportional to 120.34, 180.58 and 77 is: 115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.34 : 180.58 = 77 : x
  2. Step 2: Convert to fraction form
    120.34/180.58 = 77/x
  3. Step 3: Cross multiply
    120.34x = 180.58 × 77
  4. Step 4: Simplify right side
    120.34x = 13,904.66
  5. Step 5: Solve for x
    x = 13,904.66/120.34
  6. Step 6: Final answer
    x = 115.54

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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.