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Finding the Fourth Proportional to 76.64, 114.28 and 73.47

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Solution

The fourth proportional to 76.64, 114.28 and 73.47 is: 109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.64 : 114.28 = 73.47 : x
  2. Step 2: Convert to fraction form
    76.64/114.28 = 73.47/x
  3. Step 3: Cross multiply
    76.64x = 114.28 × 73.47
  4. Step 4: Simplify right side
    76.64x = 8,395.97
  5. Step 5: Solve for x
    x = 8,395.97/76.64
  6. Step 6: Final answer
    x = 109.56

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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.