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Finding the Fourth Proportional to 141.54, 212.25 and 49.00

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Solution

The fourth proportional to 141.54, 212.25 and 49.00 is: 73.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.54 : 212.25 = 49.00 : x
  2. Step 2: Convert to fraction form
    141.54/212.25 = 49.00/x
  3. Step 3: Cross multiply
    141.54x = 212.25 × 49.00
  4. Step 4: Simplify right side
    141.54x = 10,398.94
  5. Step 5: Solve for x
    x = 10,398.94/141.54
  6. Step 6: Final answer
    x = 73.47

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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.