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Finding the Fourth Proportional to 92.65, 138.80 and 52.02

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Solution

The fourth proportional to 92.65, 138.80 and 52.02 is: 77.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.65 : 138.80 = 52.02 : x
  2. Step 2: Convert to fraction form
    92.65/138.80 = 52.02/x
  3. Step 3: Cross multiply
    92.65x = 138.80 × 52.02
  4. Step 4: Simplify right side
    92.65x = 7,219.68
  5. Step 5: Solve for x
    x = 7,219.68/92.65
  6. Step 6: Final answer
    x = 77.92

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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.