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Finding the Fourth Proportional to 145.85, 219.78 and 120.74

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Solution

The fourth proportional to 145.85, 219.78 and 120.74 is: 181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.85 : 219.78 = 120.74 : x
  2. Step 2: Convert to fraction form
    145.85/219.78 = 120.74/x
  3. Step 3: Cross multiply
    145.85x = 219.78 × 120.74
  4. Step 4: Simplify right side
    145.85x = 26,535.55
  5. Step 5: Solve for x
    x = 26,535.55/145.85
  6. Step 6: Final answer
    x = 181.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.