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Finding the Fourth Proportional to 146.42, 219.65 and 55.10

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Solution

The fourth proportional to 146.42, 219.65 and 55.10 is: 82.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.42 : 219.65 = 55.10 : x
  2. Step 2: Convert to fraction form
    146.42/219.65 = 55.10/x
  3. Step 3: Cross multiply
    146.42x = 219.65 × 55.10
  4. Step 4: Simplify right side
    146.42x = 12,101.75
  5. Step 5: Solve for x
    x = 12,101.75/146.42
  6. Step 6: Final answer
    x = 82.65

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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.