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Finding the Fourth Proportional to 75.83, 114.44 and 75.83

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Solution

The fourth proportional to 75.83, 114.44 and 75.83 is: 114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.83 : 114.44 = 75.83 : x
  2. Step 2: Convert to fraction form
    75.83/114.44 = 75.83/x
  3. Step 3: Cross multiply
    75.83x = 114.44 × 75.83
  4. Step 4: Simplify right side
    75.83x = 8,677.03
  5. Step 5: Solve for x
    x = 8,677.03/75.83
  6. Step 6: Final answer
    x = 114.44

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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.