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Finding the Fourth Proportional to 142.49, 213.75 and 45.00

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Solution

The fourth proportional to 142.49, 213.75 and 45.00 is: 67.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.49 : 213.75 = 45.00 : x
  2. Step 2: Convert to fraction form
    142.49/213.75 = 45.00/x
  3. Step 3: Cross multiply
    142.49x = 213.75 × 45.00
  4. Step 4: Simplify right side
    142.49x = 9,617.68
  5. Step 5: Solve for x
    x = 9,617.68/142.49
  6. Step 6: Final answer
    x = 67.50

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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.