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Finding the Fourth Proportional to 71.58, 98.77 and 38.83

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Solution

The fourth proportional to 71.58, 98.77 and 38.83 is: 53.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.58 : 98.77 = 38.83 : x
  2. Step 2: Convert to fraction form
    71.58/98.77 = 38.83/x
  3. Step 3: Cross multiply
    71.58x = 98.77 × 38.83
  4. Step 4: Simplify right side
    71.58x = 3,834.97
  5. Step 5: Solve for x
    x = 3,834.97/71.58
  6. Step 6: Final answer
    x = 53.58

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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.