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Finding the Fourth Proportional to 120.84, 181.26 and 42.74

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Solution

The fourth proportional to 120.84, 181.26 and 42.74 is: 64.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.84 : 181.26 = 42.74 : x
  2. Step 2: Convert to fraction form
    120.84/181.26 = 42.74/x
  3. Step 3: Cross multiply
    120.84x = 181.26 × 42.74
  4. Step 4: Simplify right side
    120.84x = 7,746.15
  5. Step 5: Solve for x
    x = 7,746.15/120.84
  6. Step 6: Final answer
    x = 64.10

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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.