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Finding the Fourth Proportional to 77.02, 115.61 and 73.22

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Solution

The fourth proportional to 77.02, 115.61 and 73.22 is: 109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.02 : 115.61 = 73.22 : x
  2. Step 2: Convert to fraction form
    77.02/115.61 = 73.22/x
  3. Step 3: Cross multiply
    77.02x = 115.61 × 73.22
  4. Step 4: Simplify right side
    77.02x = 8,465.63
  5. Step 5: Solve for x
    x = 8,465.63/77.02
  6. Step 6: Final answer
    x = 109.92

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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.