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Finding the Fourth Proportional to 82.74, 114.17 and 71.07

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Solution

The fourth proportional to 82.74, 114.17 and 71.07 is: 98.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.74 : 114.17 = 71.07 : x
  2. Step 2: Convert to fraction form
    82.74/114.17 = 71.07/x
  3. Step 3: Cross multiply
    82.74x = 114.17 × 71.07
  4. Step 4: Simplify right side
    82.74x = 8,113.71
  5. Step 5: Solve for x
    x = 8,113.71/82.74
  6. Step 6: Final answer
    x = 98.06

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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.