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Finding the Fourth Proportional to 102.88, 141.78 and 73.72

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Solution

The fourth proportional to 102.88, 141.78 and 73.72 is: 101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.88 : 141.78 = 73.72 : x
  2. Step 2: Convert to fraction form
    102.88/141.78 = 73.72/x
  3. Step 3: Cross multiply
    102.88x = 141.78 × 73.72
  4. Step 4: Simplify right side
    102.88x = 10,452.02
  5. Step 5: Solve for x
    x = 10,452.02/102.88
  6. Step 6: Final answer
    x = 101.59

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