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Finding the Fourth Proportional to 120.64, 180.68 and 75.02

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Solution

The fourth proportional to 120.64, 180.68 and 75.02 is: 112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.64 : 180.68 = 75.02 : x
  2. Step 2: Convert to fraction form
    120.64/180.68 = 75.02/x
  3. Step 3: Cross multiply
    120.64x = 180.68 × 75.02
  4. Step 4: Simplify right side
    120.64x = 13,554.61
  5. Step 5: Solve for x
    x = 13,554.61/120.64
  6. Step 6: Final answer
    x = 112.36

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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.