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Finding the Fourth Proportional to 142.78, 214.41 and 106.58

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Solution

The fourth proportional to 142.78, 214.41 and 106.58 is: 160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.78 : 214.41 = 106.58 : x
  2. Step 2: Convert to fraction form
    142.78/214.41 = 106.58/x
  3. Step 3: Cross multiply
    142.78x = 214.41 × 106.58
  4. Step 4: Simplify right side
    142.78x = 22,851.82
  5. Step 5: Solve for x
    x = 22,851.82/142.78
  6. Step 6: Final answer
    x = 160.05

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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.