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Finding the Fourth Proportional to 61.43, 92.14 and 52.45

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Solution

The fourth proportional to 61.43, 92.14 and 52.45 is: 78.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.43 : 92.14 = 52.45 : x
  2. Step 2: Convert to fraction form
    61.43/92.14 = 52.45/x
  3. Step 3: Cross multiply
    61.43x = 92.14 × 52.45
  4. Step 4: Simplify right side
    61.43x = 4,832.38
  5. Step 5: Solve for x
    x = 4,832.38/61.43
  6. Step 6: Final answer
    x = 78.67

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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.