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Finding the Fourth Proportional to 77.48, 106.97 and 71.31

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Solution

The fourth proportional to 77.48, 106.97 and 71.31 is: 98.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.48 : 106.97 = 71.31 : x
  2. Step 2: Convert to fraction form
    77.48/106.97 = 71.31/x
  3. Step 3: Cross multiply
    77.48x = 106.97 × 71.31
  4. Step 4: Simplify right side
    77.48x = 7,627.67
  5. Step 5: Solve for x
    x = 7,627.67/77.48
  6. Step 6: Final answer
    x = 98.45

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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.