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Finding the Fourth Proportional to 142.71, 214.07 and 45.21

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Solution

The fourth proportional to 142.71, 214.07 and 45.21 is: 67.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.71 : 214.07 = 45.21 : x
  2. Step 2: Convert to fraction form
    142.71/214.07 = 45.21/x
  3. Step 3: Cross multiply
    142.71x = 214.07 × 45.21
  4. Step 4: Simplify right side
    142.71x = 9,677.81
  5. Step 5: Solve for x
    x = 9,677.81/142.71
  6. Step 6: Final answer
    x = 67.81

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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.