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Finding the Fourth Proportional to 142.84, 214.56 and 106.99

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Solution

The fourth proportional to 142.84, 214.56 and 106.99 is: 160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.84 : 214.56 = 106.99 : x
  2. Step 2: Convert to fraction form
    142.84/214.56 = 106.99/x
  3. Step 3: Cross multiply
    142.84x = 214.56 × 106.99
  4. Step 4: Simplify right side
    142.84x = 22,955.77
  5. Step 5: Solve for x
    x = 22,955.77/142.84
  6. Step 6: Final answer
    x = 160.71

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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.