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Finding the Fourth Proportional to 76.64, 114.29 and 75.96

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Solution

The fourth proportional to 76.64, 114.29 and 75.96 is: 113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.64 : 114.29 = 75.96 : x
  2. Step 2: Convert to fraction form
    76.64/114.29 = 75.96/x
  3. Step 3: Cross multiply
    76.64x = 114.29 × 75.96
  4. Step 4: Simplify right side
    76.64x = 8,681.47
  5. Step 5: Solve for x
    x = 8,681.47/76.64
  6. Step 6: Final answer
    x = 113.28

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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.