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Finding the Fourth Proportional to 92.66, 138.92 and 52.07

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Solution

The fourth proportional to 92.66, 138.92 and 52.07 is: 78.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.66 : 138.92 = 52.07 : x
  2. Step 2: Convert to fraction form
    92.66/138.92 = 52.07/x
  3. Step 3: Cross multiply
    92.66x = 138.92 × 52.07
  4. Step 4: Simplify right side
    92.66x = 7,232.61
  5. Step 5: Solve for x
    x = 7,232.61/92.66
  6. Step 6: Final answer
    x = 78.06

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Why These Related Problems?

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