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Finding the Fourth Proportional to 146.47, 219.63 and 55.16

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Solution

The fourth proportional to 146.47, 219.63 and 55.16 is: 82.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.47 : 219.63 = 55.16 : x
  2. Step 2: Convert to fraction form
    146.47/219.63 = 55.16/x
  3. Step 3: Cross multiply
    146.47x = 219.63 × 55.16
  4. Step 4: Simplify right side
    146.47x = 12,114.79
  5. Step 5: Solve for x
    x = 12,114.79/146.47
  6. Step 6: Final answer
    x = 82.71

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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.