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Finding the Fourth Proportional to 77.68, 107.16 and 53.12

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Solution

The fourth proportional to 77.68, 107.16 and 53.12 is: 73.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.68 : 107.16 = 53.12 : x
  2. Step 2: Convert to fraction form
    77.68/107.16 = 53.12/x
  3. Step 3: Cross multiply
    77.68x = 107.16 × 53.12
  4. Step 4: Simplify right side
    77.68x = 5,692.34
  5. Step 5: Solve for x
    x = 5,692.34/77.68
  6. Step 6: Final answer
    x = 73.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.