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Finding the Fourth Proportional to 76.16, 114.83 and 73.32

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Solution

The fourth proportional to 76.16, 114.83 and 73.32 is: 110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.16 : 114.83 = 73.32 : x
  2. Step 2: Convert to fraction form
    76.16/114.83 = 73.32/x
  3. Step 3: Cross multiply
    76.16x = 114.83 × 73.32
  4. Step 4: Simplify right side
    76.16x = 8,418.97
  5. Step 5: Solve for x
    x = 8,418.97/76.16
  6. Step 6: Final answer
    x = 110.55

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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.