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Finding the Fourth Proportional to 71.50, 98.74 and 54.34

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Solution

The fourth proportional to 71.50, 98.74 and 54.34 is: 75.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.50 : 98.74 = 54.34 : x
  2. Step 2: Convert to fraction form
    71.50/98.74 = 54.34/x
  3. Step 3: Cross multiply
    71.50x = 98.74 × 54.34
  4. Step 4: Simplify right side
    71.50x = 5,365.53
  5. Step 5: Solve for x
    x = 5,365.53/71.50
  6. Step 6: Final answer
    x = 75.04

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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.