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Finding the Fourth Proportional to 102.58, 141.59 and 76.37

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Solution

The fourth proportional to 102.58, 141.59 and 76.37 is: 105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.58 : 141.59 = 76.37 : x
  2. Step 2: Convert to fraction form
    102.58/141.59 = 76.37/x
  3. Step 3: Cross multiply
    102.58x = 141.59 × 76.37
  4. Step 4: Simplify right side
    102.58x = 10,813.20
  5. Step 5: Solve for x
    x = 10,813.20/102.58
  6. Step 6: Final answer
    x = 105.41

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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.