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Finding the Fourth Proportional to 82.91, 124.16 and 64.79

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Solution

The fourth proportional to 82.91, 124.16 and 64.79 is: 97.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.91 : 124.16 = 64.79 : x
  2. Step 2: Convert to fraction form
    82.91/124.16 = 64.79/x
  3. Step 3: Cross multiply
    82.91x = 124.16 × 64.79
  4. Step 4: Simplify right side
    82.91x = 8,043.38
  5. Step 5: Solve for x
    x = 8,043.38/82.91
  6. Step 6: Final answer
    x = 97.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.