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Finding the Fourth Proportional to 142.50, 213.76 and 45.01

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Solution

The fourth proportional to 142.50, 213.76 and 45.01 is: 67.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.50 : 213.76 = 45.01 : x
  2. Step 2: Convert to fraction form
    142.50/213.76 = 45.01/x
  3. Step 3: Cross multiply
    142.50x = 213.76 × 45.01
  4. Step 4: Simplify right side
    142.50x = 9,620.21
  5. Step 5: Solve for x
    x = 9,620.21/142.50
  6. Step 6: Final answer
    x = 67.51

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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.