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Finding the Fourth Proportional to 120.29, 180.32 and 62.51

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Solution

The fourth proportional to 120.29, 180.32 and 62.51 is: 93.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.29 : 180.32 = 62.51 : x
  2. Step 2: Convert to fraction form
    120.29/180.32 = 62.51/x
  3. Step 3: Cross multiply
    120.29x = 180.32 × 62.51
  4. Step 4: Simplify right side
    120.29x = 11,270.59
  5. Step 5: Solve for x
    x = 11,270.59/120.29
  6. Step 6: Final answer
    x = 93.70

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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.