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Finding the Fourth Proportional to 76.44, 114.69 and 59.47

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Solution

The fourth proportional to 76.44, 114.69 and 59.47 is: 89.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.44 : 114.69 = 59.47 : x
  2. Step 2: Convert to fraction form
    76.44/114.69 = 59.47/x
  3. Step 3: Cross multiply
    76.44x = 114.69 × 59.47
  4. Step 4: Simplify right side
    76.44x = 6,820.55
  5. Step 5: Solve for x
    x = 6,820.55/76.44
  6. Step 6: Final answer
    x = 89.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.