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Finding the Fourth Proportional to 142.78, 214.04 and 61.56

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Solution

The fourth proportional to 142.78, 214.04 and 61.56 is: 92.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.78 : 214.04 = 61.56 : x
  2. Step 2: Convert to fraction form
    142.78/214.04 = 61.56/x
  3. Step 3: Cross multiply
    142.78x = 214.04 × 61.56
  4. Step 4: Simplify right side
    142.78x = 13,176.46
  5. Step 5: Solve for x
    x = 13,176.46/142.78
  6. Step 6: Final answer
    x = 92.29

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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.