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Finding the Fourth Proportional to 165.11, 247.32 and 77.13

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Solution

The fourth proportional to 165.11, 247.32 and 77.13 is: 115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.11 : 247.32 = 77.13 : x
  2. Step 2: Convert to fraction form
    165.11/247.32 = 77.13/x
  3. Step 3: Cross multiply
    165.11x = 247.32 × 77.13
  4. Step 4: Simplify right side
    165.11x = 19,075.79
  5. Step 5: Solve for x
    x = 19,075.79/165.11
  6. Step 6: Final answer
    x = 115.54

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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.