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Finding the Fourth Proportional to 77.29, 106.64 and 51.07

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Solution

The fourth proportional to 77.29, 106.64 and 51.07 is: 70.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.29 : 106.64 = 51.07 : x
  2. Step 2: Convert to fraction form
    77.29/106.64 = 51.07/x
  3. Step 3: Cross multiply
    77.29x = 106.64 × 51.07
  4. Step 4: Simplify right side
    77.29x = 5,446.10
  5. Step 5: Solve for x
    x = 5,446.10/77.29
  6. Step 6: Final answer
    x = 70.46

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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.