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Finding the Fourth Proportional to 102.21, 141.02 and 57.95

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Solution

The fourth proportional to 102.21, 141.02 and 57.95 is: 79.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.21 : 141.02 = 57.95 : x
  2. Step 2: Convert to fraction form
    102.21/141.02 = 57.95/x
  3. Step 3: Cross multiply
    102.21x = 141.02 × 57.95
  4. Step 4: Simplify right side
    102.21x = 8,171.82
  5. Step 5: Solve for x
    x = 8,171.82/102.21
  6. Step 6: Final answer
    x = 79.96

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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.