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Finding the Fourth Proportional to 82.34, 113.50 and 70.66

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Solution

The fourth proportional to 82.34, 113.50 and 70.66 is: 97.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.34 : 113.50 = 70.66 : x
  2. Step 2: Convert to fraction form
    82.34/113.50 = 70.66/x
  3. Step 3: Cross multiply
    82.34x = 113.50 × 70.66
  4. Step 4: Simplify right side
    82.34x = 8,019.91
  5. Step 5: Solve for x
    x = 8,019.91/82.34
  6. Step 6: Final answer
    x = 97.40

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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.