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Finding the Fourth Proportional to 142.96, 214.45 and 61.80

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Solution

The fourth proportional to 142.96, 214.45 and 61.80 is: 92.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 214.45 = 61.80 : x
  2. Step 2: Convert to fraction form
    142.96/214.45 = 61.80/x
  3. Step 3: Cross multiply
    142.96x = 214.45 × 61.80
  4. Step 4: Simplify right side
    142.96x = 13,253.86
  5. Step 5: Solve for x
    x = 13,253.86/142.96
  6. Step 6: Final answer
    x = 92.71

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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.