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Finding the Fourth Proportional to 142.69, 214.16 and 57.25

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Solution

The fourth proportional to 142.69, 214.16 and 57.25 is: 85.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.69 : 214.16 = 57.25 : x
  2. Step 2: Convert to fraction form
    142.69/214.16 = 57.25/x
  3. Step 3: Cross multiply
    142.69x = 214.16 × 57.25
  4. Step 4: Simplify right side
    142.69x = 12,260.66
  5. Step 5: Solve for x
    x = 12,260.66/142.69
  6. Step 6: Final answer
    x = 85.93

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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.