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Finding the Fourth Proportional to 71.44, 98.59 and 53.92

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Solution

The fourth proportional to 71.44, 98.59 and 53.92 is: 74.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.44 : 98.59 = 53.92 : x
  2. Step 2: Convert to fraction form
    71.44/98.59 = 53.92/x
  3. Step 3: Cross multiply
    71.44x = 98.59 × 53.92
  4. Step 4: Simplify right side
    71.44x = 5,315.77
  5. Step 5: Solve for x
    x = 5,315.77/71.44
  6. Step 6: Final answer
    x = 74.41

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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.