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Finding the Fourth Proportional to 142.57, 213.88 and 45.07

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Solution

The fourth proportional to 142.57, 213.88 and 45.07 is: 67.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.57 : 213.88 = 45.07 : x
  2. Step 2: Convert to fraction form
    142.57/213.88 = 45.07/x
  3. Step 3: Cross multiply
    142.57x = 213.88 × 45.07
  4. Step 4: Simplify right side
    142.57x = 9,639.57
  5. Step 5: Solve for x
    x = 9,639.57/142.57
  6. Step 6: Final answer
    x = 67.61

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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.