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Finding the Fourth Proportional to 142.98, 214.47 and 82.05

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Solution

The fourth proportional to 142.98, 214.47 and 82.05 is: 123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.98 : 214.47 = 82.05 : x
  2. Step 2: Convert to fraction form
    142.98/214.47 = 82.05/x
  3. Step 3: Cross multiply
    142.98x = 214.47 × 82.05
  4. Step 4: Simplify right side
    142.98x = 17,597.26
  5. Step 5: Solve for x
    x = 17,597.26/142.98
  6. Step 6: Final answer
    x = 123.08

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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.