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Finding the Fourth Proportional to 102.45, 141.23 and 82.77

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Solution

The fourth proportional to 102.45, 141.23 and 82.77 is: 114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.45 : 141.23 = 82.77 : x
  2. Step 2: Convert to fraction form
    102.45/141.23 = 82.77/x
  3. Step 3: Cross multiply
    102.45x = 141.23 × 82.77
  4. Step 4: Simplify right side
    102.45x = 11,689.19
  5. Step 5: Solve for x
    x = 11,689.19/102.45
  6. Step 6: Final answer
    x = 114.10

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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.