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Finding the Fourth Proportional to 92.58, 138.69 and 47.98

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Solution

The fourth proportional to 92.58, 138.69 and 47.98 is: 71.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.58 : 138.69 = 47.98 : x
  2. Step 2: Convert to fraction form
    92.58/138.69 = 47.98/x
  3. Step 3: Cross multiply
    92.58x = 138.69 × 47.98
  4. Step 4: Simplify right side
    92.58x = 6,654.12
  5. Step 5: Solve for x
    x = 6,654.12/92.58
  6. Step 6: Final answer
    x = 71.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.