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Finding the Fourth Proportional to 75.82, 114.14 and 58.80

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Solution

The fourth proportional to 75.82, 114.14 and 58.80 is: 88.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.82 : 114.14 = 58.80 : x
  2. Step 2: Convert to fraction form
    75.82/114.14 = 58.80/x
  3. Step 3: Cross multiply
    75.82x = 114.14 × 58.80
  4. Step 4: Simplify right side
    75.82x = 6,711.43
  5. Step 5: Solve for x
    x = 6,711.43/75.82
  6. Step 6: Final answer
    x = 88.52

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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.