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Finding the Fourth Proportional to 102.88, 141.63 and 96.94

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Solution

The fourth proportional to 102.88, 141.63 and 96.94 is: 133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.88 : 141.63 = 96.94 : x
  2. Step 2: Convert to fraction form
    102.88/141.63 = 96.94/x
  3. Step 3: Cross multiply
    102.88x = 141.63 × 96.94
  4. Step 4: Simplify right side
    102.88x = 13,729.61
  5. Step 5: Solve for x
    x = 13,729.61/102.88
  6. Step 6: Final answer
    x = 133.45

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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.