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Finding the Fourth Proportional to 76.56, 114.08 and 75.28

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Solution

The fourth proportional to 76.56, 114.08 and 75.28 is: 112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.56 : 114.08 = 75.28 : x
  2. Step 2: Convert to fraction form
    76.56/114.08 = 75.28/x
  3. Step 3: Cross multiply
    76.56x = 114.08 × 75.28
  4. Step 4: Simplify right side
    76.56x = 8,587.94
  5. Step 5: Solve for x
    x = 8,587.94/76.56
  6. Step 6: Final answer
    x = 112.17

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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.