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Finding the Fourth Proportional to 102.30, 141.39 and 85.98

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Solution

The fourth proportional to 102.30, 141.39 and 85.98 is: 118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.30 : 141.39 = 85.98 : x
  2. Step 2: Convert to fraction form
    102.30/141.39 = 85.98/x
  3. Step 3: Cross multiply
    102.30x = 141.39 × 85.98
  4. Step 4: Simplify right side
    102.30x = 12,156.71
  5. Step 5: Solve for x
    x = 12,156.71/102.30
  6. Step 6: Final answer
    x = 118.83

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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.