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Finding the Fourth Proportional to 71.69, 98.96 and 59.40

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Solution

The fourth proportional to 71.69, 98.96 and 59.40 is: 82.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.69 : 98.96 = 59.40 : x
  2. Step 2: Convert to fraction form
    71.69/98.96 = 59.40/x
  3. Step 3: Cross multiply
    71.69x = 98.96 × 59.40
  4. Step 4: Simplify right side
    71.69x = 5,877.93
  5. Step 5: Solve for x
    x = 5,877.93/71.69
  6. Step 6: Final answer
    x = 82.00

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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.