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Finding the Fourth Proportional to 77.02, 116.17 and 73.51

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Solution

The fourth proportional to 77.02, 116.17 and 73.51 is: 110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.02 : 116.17 = 73.51 : x
  2. Step 2: Convert to fraction form
    77.02/116.17 = 73.51/x
  3. Step 3: Cross multiply
    77.02x = 116.17 × 73.51
  4. Step 4: Simplify right side
    77.02x = 8,539.66
  5. Step 5: Solve for x
    x = 8,539.66/77.02
  6. Step 6: Final answer
    x = 110.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.