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Finding the Fourth Proportional to 102.41, 141.33 and 55.78

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Solution

The fourth proportional to 102.41, 141.33 and 55.78 is: 76.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.41 : 141.33 = 55.78 : x
  2. Step 2: Convert to fraction form
    102.41/141.33 = 55.78/x
  3. Step 3: Cross multiply
    102.41x = 141.33 × 55.78
  4. Step 4: Simplify right side
    102.41x = 7,883.46
  5. Step 5: Solve for x
    x = 7,883.46/102.41
  6. Step 6: Final answer
    x = 76.98

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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.