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Finding the Fourth Proportional to 142.88, 214.29 and 65.84

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Solution

The fourth proportional to 142.88, 214.29 and 65.84 is: 98.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.88 : 214.29 = 65.84 : x
  2. Step 2: Convert to fraction form
    142.88/214.29 = 65.84/x
  3. Step 3: Cross multiply
    142.88x = 214.29 × 65.84
  4. Step 4: Simplify right side
    142.88x = 14,107.78
  5. Step 5: Solve for x
    x = 14,107.78/142.88
  6. Step 6: Final answer
    x = 98.74

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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.