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Finding the Fourth Proportional to 134.08, 185.08 and 120.24

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Solution

The fourth proportional to 134.08, 185.08 and 120.24 is: 165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.08 : 185.08 = 120.24 : x
  2. Step 2: Convert to fraction form
    134.08/185.08 = 120.24/x
  3. Step 3: Cross multiply
    134.08x = 185.08 × 120.24
  4. Step 4: Simplify right side
    134.08x = 22,254.02
  5. Step 5: Solve for x
    x = 22,254.02/134.08
  6. Step 6: Final answer
    x = 165.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.