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Finding the Fourth Proportional to 77.01, 106.28 and 42.51

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Solution

The fourth proportional to 77.01, 106.28 and 42.51 is: 58.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.01 : 106.28 = 42.51 : x
  2. Step 2: Convert to fraction form
    77.01/106.28 = 42.51/x
  3. Step 3: Cross multiply
    77.01x = 106.28 × 42.51
  4. Step 4: Simplify right side
    77.01x = 4,517.75
  5. Step 5: Solve for x
    x = 4,517.75/77.01
  6. Step 6: Final answer
    x = 58.66

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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.