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Finding the Fourth Proportional to 76.05, 104.93 and 62.25

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Solution

The fourth proportional to 76.05, 104.93 and 62.25 is: 85.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.05 : 104.93 = 62.25 : x
  2. Step 2: Convert to fraction form
    76.05/104.93 = 62.25/x
  3. Step 3: Cross multiply
    76.05x = 104.93 × 62.25
  4. Step 4: Simplify right side
    76.05x = 6,531.89
  5. Step 5: Solve for x
    x = 6,531.89/76.05
  6. Step 6: Final answer
    x = 85.89

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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.