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Finding the Fourth Proportional to 77.24, 106.51 and 66.20

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Solution

The fourth proportional to 77.24, 106.51 and 66.20 is: 91.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.24 : 106.51 = 66.20 : x
  2. Step 2: Convert to fraction form
    77.24/106.51 = 66.20/x
  3. Step 3: Cross multiply
    77.24x = 106.51 × 66.20
  4. Step 4: Simplify right side
    77.24x = 7,051.06
  5. Step 5: Solve for x
    x = 7,051.06/77.24
  6. Step 6: Final answer
    x = 91.29

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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.