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Finding the Fourth Proportional to 76.26, 105.14 and 57.58

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Solution

The fourth proportional to 76.26, 105.14 and 57.58 is: 79.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.26 : 105.14 = 57.58 : x
  2. Step 2: Convert to fraction form
    76.26/105.14 = 57.58/x
  3. Step 3: Cross multiply
    76.26x = 105.14 × 57.58
  4. Step 4: Simplify right side
    76.26x = 6,053.96
  5. Step 5: Solve for x
    x = 6,053.96/76.26
  6. Step 6: Final answer
    x = 79.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.