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Finding the Fourth Proportional to 102.42, 141.48 and 82.98

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Solution

The fourth proportional to 102.42, 141.48 and 82.98 is: 114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.42 : 141.48 = 82.98 : x
  2. Step 2: Convert to fraction form
    102.42/141.48 = 82.98/x
  3. Step 3: Cross multiply
    102.42x = 141.48 × 82.98
  4. Step 4: Simplify right side
    102.42x = 11,740.01
  5. Step 5: Solve for x
    x = 11,740.01/102.42
  6. Step 6: Final answer
    x = 114.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.