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Finding the Fourth Proportional to 71.74, 98.79 and 71.50

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Solution

The fourth proportional to 71.74, 98.79 and 71.50 is: 98.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.74 : 98.79 = 71.50 : x
  2. Step 2: Convert to fraction form
    71.74/98.79 = 71.50/x
  3. Step 3: Cross multiply
    71.74x = 98.79 × 71.50
  4. Step 4: Simplify right side
    71.74x = 7,063.49
  5. Step 5: Solve for x
    x = 7,063.49/71.74
  6. Step 6: Final answer
    x = 98.46

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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.