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Finding the Fourth Proportional to 142.71, 213.93 and 102.12

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Solution

The fourth proportional to 142.71, 213.93 and 102.12 is: 153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.71 : 213.93 = 102.12 : x
  2. Step 2: Convert to fraction form
    142.71/213.93 = 102.12/x
  3. Step 3: Cross multiply
    142.71x = 213.93 × 102.12
  4. Step 4: Simplify right side
    142.71x = 21,846.53
  5. Step 5: Solve for x
    x = 21,846.53/142.71
  6. Step 6: Final answer
    x = 153.08

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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.