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Finding the Fourth Proportional to 77.13, 114.72 and 75.51

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Solution

The fourth proportional to 77.13, 114.72 and 75.51 is: 112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.13 : 114.72 = 75.51 : x
  2. Step 2: Convert to fraction form
    77.13/114.72 = 75.51/x
  3. Step 3: Cross multiply
    77.13x = 114.72 × 75.51
  4. Step 4: Simplify right side
    77.13x = 8,662.22
  5. Step 5: Solve for x
    x = 8,662.22/77.13
  6. Step 6: Final answer
    x = 112.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.