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Finding the Fourth Proportional to 71.70, 98.48 and 59.40

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Solution

The fourth proportional to 71.70, 98.48 and 59.40 is: 81.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.70 : 98.48 = 59.40 : x
  2. Step 2: Convert to fraction form
    71.70/98.48 = 59.40/x
  3. Step 3: Cross multiply
    71.70x = 98.48 × 59.40
  4. Step 4: Simplify right side
    71.70x = 5,849.42
  5. Step 5: Solve for x
    x = 5,849.42/71.70
  6. Step 6: Final answer
    x = 81.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.