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Finding the Fourth Proportional to 77.04, 115.74 and 66.24

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Solution

The fourth proportional to 77.04, 115.74 and 66.24 is: 99.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.04 : 115.74 = 66.24 : x
  2. Step 2: Convert to fraction form
    77.04/115.74 = 66.24/x
  3. Step 3: Cross multiply
    77.04x = 115.74 × 66.24
  4. Step 4: Simplify right side
    77.04x = 7,666.62
  5. Step 5: Solve for x
    x = 7,666.62/77.04
  6. Step 6: Final answer
    x = 99.51

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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.